SQL functions for evaluating probability functions. More...
Functions | |
float8 | bernoulli_cdf (float8 x, float8 sp) |
Bernoulli cumulative distribution function. More... | |
float8 | bernoulli_pmf (int4 x, float8 sp) |
Bernoulli probability mass function. More... | |
float8 | bernoulli_quantile (float8 p, float8 sp) |
Bernoulli quantile function. More... | |
float8 | beta_cdf (float8 x, float8 alpha, float8 beta) |
Beta cumulative distribution function. More... | |
float8 | beta_pdf (float8 x, float8 alpha, float8 beta) |
Beta probability density function. More... | |
float8 | beta_quantile (float8 p, float8 alpha, float8 beta) |
Beta quantile function. More... | |
float8 | binomial_cdf (float8 x, int4 n, float8 sp) |
Binomial cumulative distribution function. More... | |
float8 | binomial_pmf (int4 x, int4 n, float8 sp) |
Binomial probability mass function. More... | |
float8 | binomial_quantile (float8 p, int4 n, float8 sp) |
Binomial quantile function. More... | |
float8 | cauchy_cdf (float8 x, float8 location, float8 scale) |
Cauchy cumulative distribution function. More... | |
float8 | cauchy_pdf (float8 x, float8 location, float8 scale) |
Cauchy probability density function. More... | |
float8 | cauchy_quantile (float8 p, float8 location, float8 scale) |
Cauchy quantile function. More... | |
float8 | chi_squared_cdf (float8 x, float8 df) |
Chi-squared cumulative distribution function. More... | |
float8 | chi_squared_pdf (float8 x, float8 df) |
Chi-squared distribution probability density function. More... | |
float8 | chi_squared_quantile (float8 p, float8 df) |
Chi-squared distribution quantile function. More... | |
float8 | exponential_cdf (float8 x, float8 lambda) |
Exponential cumulative distribution function. More... | |
float8 | exponential_pdf (float8 x, float8 lambda) |
Exponential probability density function. More... | |
float8 | exponential_quantile (float8 p, float8 lambda) |
Exponential quantile function. More... | |
float8 | extreme_value_cdf (float8 x, float8 location, float8 scale) |
Extreme Value cumulative distribution function. More... | |
float8 | extreme_value_pdf (float8 x, float8 location, float8 scale) |
Extreme Value probability density function. More... | |
float8 | extreme_value_quantile (float8 p, float8 location, float8 scale) |
Extreme Value quantile function. More... | |
float8 | fisher_f_cdf (float8 x, float8 df1, float8 df2) |
Fisher F cumulative distribution function. More... | |
float8 | fisher_f_pdf (float8 x, float8 df1, float8 df2) |
Fisher F probability density function. More... | |
float8 | fisher_f_quantile (float8 p, float8 df1, float8 df2) |
Fisher F quantile function. More... | |
float8 | gamma_cdf (float8 x, float8 shape, float8 scale) |
Gamma cumulative distribution function. More... | |
float8 | gamma_pdf (float8 x, float8 shape, float8 scale) |
Gamma probability density function. More... | |
float8 | gamma_quantile (float8 p, float8 shape, float8 scale) |
Gamma quantile function. More... | |
float8 | geometric_cdf (float8 x, float8 sp) |
Geometric cumulative distribution function. More... | |
float8 | geometric_pmf (int4 x, float8 sp) |
Geometric probability mass function. More... | |
float8 | geometric_quantile (float8 p, float8 sp) |
Geometric quantile function. More... | |
float8 | hypergeometric_cdf (float8 x, int4 r, int4 n, int4 N) |
Hypergeometric cumulative distribution function. More... | |
float8 | hypergeometric_pmf (int4 x, int4 r, int4 n, int4 N) |
Hypergeometric probability mass function. More... | |
float8 | hypergeometric_quantile (float8 p, int4 r, int4 n, int4 N) |
Hypergeometric quantile function. More... | |
float8 | inverse_gamma_cdf (float8 x, float8 shape, float8 scale) |
Inverse Gamma cumulative distribution function. More... | |
float8 | inverse_gamma_pdf (float8 x, float8 shape, float8 scale) |
Inverse Gamma probability density function. More... | |
float8 | inverse_gamma_quantile (float8 p, float8 shape, float8 scale) |
Inverse Gamma quantile function. More... | |
float8 | kolmogorov_cdf (float8 x) |
Kolmogorov cumulative distribution function. More... | |
float8 | laplace_cdf (float8 x, float8 mean, float8 scale) |
Laplace cumulative distribution function. More... | |
float8 | laplace_pdf (float8 x, float8 mean, float8 scale) |
Laplace probability density function. More... | |
float8 | laplace_quantile (float8 p, float8 mean, float8 scale) |
Laplace quantile function. More... | |
float8 | logistic_cdf (float8 x, float8 mean, float8 scale) |
Logistic cumulative distribution function. More... | |
float8 | logistic_pdf (float8 x, float8 mean, float8 scale) |
Logistic probability density function. More... | |
float8 | logistic_quantile (float8 p, float8 mean, float8 scale) |
Logistic quantile function. More... | |
float8 | lognormal_cdf (float8 x, float8 location, float8 scale) |
Log-normal cumulative distribution function. More... | |
float8 | lognormal_pdf (float8 x, float8 location, float8 scale) |
Log-normal probability density function. More... | |
float8 | lognormal_quantile (float8 p, float8 location, float8 scale) |
Log-normal quantile function. More... | |
float8 | negative_binomial_cdf (float8 x, float8 r, float8 sp) |
Negative binomial cumulative distribution function. More... | |
float8 | negative_binomial_pmf (int4 x, float8 r, float8 sp) |
Negative binomial probability mass function. More... | |
float8 | negative_binomial_quantile (float8 p, float8 r, float8 sp) |
Negative binomial quantile function. More... | |
float8 | non_central_beta_cdf (float8 x, float8 alpha, float8 beta, float8 ncp) |
Noncentral beta cumulative distribution function. More... | |
float8 | non_central_beta_pdf (float8 x, float8 alpha, float8 beta, float8 ncp) |
Noncentral beta probability density function. More... | |
float8 | non_central_beta_quantile (float8 p, float8 alpha, float8 beta, float8 ncp) |
Noncentral beta quantile function. More... | |
float8 | non_central_chi_squared_cdf (float8 x, float8 df, float8 ncp) |
Noncentral chi-squared cumulative distribution function. More... | |
float8 | non_central_chi_squared_pdf (float8 x, float8 df, float8 ncp) |
Noncentral chi-squared distribution probability density function. More... | |
float8 | non_central_chi_squared_quantile (float8 p, float8 df, float8 ncp) |
Noncentral chi-squared distribution quantile function. More... | |
float8 | non_central_f_cdf (float8 x, float8 df1, float8 df2, float8 ncp) |
Noncentral Fisher F cumulative distribution function. More... | |
float8 | non_central_f_pdf (float8 x, float8 df1, float8 df2, float8 ncp) |
Noncentral Fisher F probability density function. More... | |
float8 | non_central_f_quantile (float8 p, float8 df1, float8 df2, float8 ncp) |
Noncentral Fisher F quantile function. More... | |
float8 | non_central_t_cdf (float8 x, float8 df, float8 ncp) |
Noncentral Student-t cumulative distribution function. More... | |
float8 | non_central_t_pdf (float8 x, float8 df, float8 ncp) |
Noncentral Student-t probability density function. More... | |
float8 | non_central_t_quantile (float8 p, float8 df, float8 ncp) |
Noncentral Student-t quantile function. More... | |
float8 | normal_cdf (float8 x, float8 mean=0, float8 sd=1) |
Normal cumulative distribution function. More... | |
float8 | normal_cdf (float8 x, float8 mean) |
float8 | normal_cdf (float8 x) |
float8 | normal_pdf (float8 x, float8 mean=0, float8 sd=1) |
Normal probability density function. More... | |
float8 | normal_pdf (float8 x, float8 mean) |
float8 | normal_pdf (float8 x) |
float8 | normal_quantile (float8 p, float8 mean=0, float8 sd=1) |
Normal quantile function. More... | |
float8 | normal_quantile (float8 p, float8 mean) |
float8 | normal_quantile (float8 p) |
float8 | pareto_cdf (float8 x, float8 scale, float8 shape) |
Pareto cumulative distribution function. More... | |
float8 | pareto_pdf (float8 x, float8 scale, float8 shape) |
Pareto probability density function. More... | |
float8 | pareto_quantile (float8 p, float8 scale, float8 shape) |
Pareto quantile function. More... | |
float8 | poisson_cdf (float8 x, float8 mean) |
Poisson cumulative distribution function. More... | |
float8 | poisson_pmf (int4 x, float8 mean) |
Poisson probability mass function. More... | |
float8 | poisson_quantile (float8 p, float8 mean) |
Poisson quantile function. More... | |
float8 | rayleigh_cdf (float8 x, float8 scale) |
Rayleigh cumulative distribution function. More... | |
float8 | rayleigh_pdf (float8 x, float8 scale) |
Rayleigh probability density function. More... | |
float8 | rayleigh_quantile (float8 p, float8 scale) |
Rayleigh quantile function. More... | |
float8 | students_t_cdf (float8 x, float8 df) |
Student's t cumulative distribution function. More... | |
float8 | students_t_pdf (float8 x, float8 df) |
Student's t probability density function. More... | |
float8 | students_t_quantile (float8 p, float8 df) |
Student's t quantile function. More... | |
float8 | triangular_cdf (float8 x, float8 lower, float8 mode, float8 upper) |
Triangular cumulative distribution function. More... | |
float8 | triangular_pdf (float8 x, float8 lower, float8 mode, float8 upper) |
Triangular probability density function. More... | |
float8 | triangular_quantile (float8 p, float8 lower, float8 mode, float8 upper) |
Triangular quantile function. More... | |
float8 | uniform_cdf (float8 x, float8 lower, float8 upper) |
Uniform cumulative distribution function. More... | |
float8 | uniform_pdf (float8 x, float8 lower, float8 upper) |
Uniform probability density function. More... | |
float8 | uniform_quantile (float8 p, float8 lower, float8 upper) |
Uniform quantile function. More... | |
float8 | weibull_cdf (float8 x, float8 shape, float8 scale) |
Weibull cumulative distribution function. More... | |
float8 | weibull_pdf (float8 x, float8 shape, float8 scale) |
Weibull probability density function. More... | |
float8 | weibull_quantile (float8 p, float8 shape, float8 scale) |
Weibull quantile function. More... | |
float8 bernoulli_cdf | ( | float8 | x, |
float8 | sp | ||
) |
x | Random variate \( x \) |
sp | Success probability \( p \in [0,1] \) |
float8 bernoulli_pmf | ( | int4 | x, |
float8 | sp | ||
) |
x | Random variate \( x \) |
sp | Success probability \( \mathit{sp} \in [0,1] \) |
float8 bernoulli_quantile | ( | float8 | p, |
float8 | sp | ||
) |
p | Probability \( p \in [0,1] \) |
sp | Success probability \( \mathit{sp} \in [0,1] \) |
float8 beta_cdf | ( | float8 | x, |
float8 | alpha, | ||
float8 | beta | ||
) |
x | Random variate \( x \) |
alpha | Shape \( \alpha > 0 \) |
beta | Shape \( \beta > 0 \) |
float8 beta_pdf | ( | float8 | x, |
float8 | alpha, | ||
float8 | beta | ||
) |
x | Random variate \( x \) |
alpha | Shape \( \alpha > 0 \) |
beta | Shape \( \beta > 0 \) |
float8 beta_quantile | ( | float8 | p, |
float8 | alpha, | ||
float8 | beta | ||
) |
p | Probability \( p \in [0,1] \) |
alpha | Shape \( \alpha > 0 \) |
beta | Shape \( \beta > 0 \) |
float8 binomial_cdf | ( | float8 | x, |
int4 | n, | ||
float8 | sp | ||
) |
x | Random variate \( x \) |
n | The number of trials \( n \in \mathbb N_0 \) |
sp | Success probability \( \mathit{sp} \in [0,1] \) |
float8 binomial_pmf | ( | int4 | x, |
int4 | n, | ||
float8 | sp | ||
) |
x | Random variate \( x \) |
n | The number of trials \( n \in \mathbb N_0 \) |
sp | Success probability \( \mathit{sp} \in [0,1] \) |
float8 binomial_quantile | ( | float8 | p, |
int4 | n, | ||
float8 | sp | ||
) |
p | Probability \( p \in [0,1] \) |
n | The number of trials \( n \in \mathbb N_0 \) |
sp | Success probability \( \mathit{sp} \in [0,1] \) |
float8 cauchy_cdf | ( | float8 | x, |
float8 | location, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
location | Location \( x_0 \) |
scale | Scale \( \gamma > 0 \) |
float8 cauchy_pdf | ( | float8 | x, |
float8 | location, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
location | Location \( x_0 \) |
scale | Scale \( \gamma > 0 \) |
float8 cauchy_quantile | ( | float8 | p, |
float8 | location, | ||
float8 | scale | ||
) |
p | Probability \( p \in [0,1] \) |
location | Location \( x_0 \) |
scale | Scale \( \gamma > 0 \) |
float8 chi_squared_cdf | ( | float8 | x, |
float8 | df | ||
) |
x | Random variate \( x \) |
df | Degrees of freedom \( \nu > 0 \) |
float8 chi_squared_pdf | ( | float8 | x, |
float8 | df | ||
) |
x | Random variate \( x \) |
df | Degrees of freedom \( \nu > 0 \) |
float8 chi_squared_quantile | ( | float8 | p, |
float8 | df | ||
) |
p | Probability \( p \in [0,1] \) |
df | Degrees of freedom \( \mu > 0 \) |
float8 exponential_cdf | ( | float8 | x, |
float8 | lambda | ||
) |
x | Random variate \( x \) |
lambda | Rate parameter \( \lambda > 0 \) |
float8 exponential_pdf | ( | float8 | x, |
float8 | lambda | ||
) |
x | Random variate \( x \) |
lambda | Rate parameter \( \lambda > 0 \) |
float8 exponential_quantile | ( | float8 | p, |
float8 | lambda | ||
) |
p | Probability \( p \in [0,1] \) |
lambda | Rate parameter \( \lambda > 0 \) |
float8 extreme_value_cdf | ( | float8 | x, |
float8 | location, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
location | Location \( \alpha \) |
scale | Scale \( \beta > 0 \) |
float8 extreme_value_pdf | ( | float8 | x, |
float8 | location, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
location | Location \( \alpha \) |
scale | Scale \( \beta > 0 \) |
float8 extreme_value_quantile | ( | float8 | p, |
float8 | location, | ||
float8 | scale | ||
) |
p | Probability \( p \in [0,1] \) |
location | Location \( \alpha \) |
scale | Scale \( \beta > 0 \) |
float8 fisher_f_cdf | ( | float8 | x, |
float8 | df1, | ||
float8 | df2 | ||
) |
x | Random variate \( x \) |
df1 | Degrees of freedom in numerator \( \nu_1 > 0 \) |
df2 | Degrees of freedom in denominator \( \nu_1 > 0 \) |
float8 fisher_f_pdf | ( | float8 | x, |
float8 | df1, | ||
float8 | df2 | ||
) |
x | Random variate \( x \) |
df1 | Degrees of freedom in numerator \( \nu_1 > 0 \) |
df2 | Degrees of freedom in denominator \( \nu_1 > 0 \) |
float8 fisher_f_quantile | ( | float8 | p, |
float8 | df1, | ||
float8 | df2 | ||
) |
p | Probability \( p \in [0,1] \) |
df1 | Degrees of freedom in numerator \( \nu_1 > 0 \) |
df2 | Degrees of freedom in denominator \( \nu_1 > 0 \) |
float8 gamma_cdf | ( | float8 | x, |
float8 | shape, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
shape | Shape \( k > 0 \) |
scale | Scale \( \theta > 0 \) |
float8 gamma_pdf | ( | float8 | x, |
float8 | shape, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
shape | Shape \( k > 0 \) |
scale | Scale \( \theta > 0 \) |
float8 gamma_quantile | ( | float8 | p, |
float8 | shape, | ||
float8 | scale | ||
) |
p | Probability \( p \in [0,1] \) |
shape | Shape \( k > 0 \) |
scale | Scale \( \theta > 0 \) |
float8 geometric_cdf | ( | float8 | x, |
float8 | sp | ||
) |
x | Random variate \( x \) |
sp | Success probability \( \mathit{sp} \in [0,1] \) |
float8 geometric_pmf | ( | int4 | x, |
float8 | sp | ||
) |
x | Random variate \( x \) |
sp | Success probability \( \mathit{sp} \in [0,1] \) |
float8 geometric_quantile | ( | float8 | p, |
float8 | sp | ||
) |
p | Probability \( p \in [0,1] \) |
sp | Success probability \( \mathit{sp} \in [0,1] \) |
float8 hypergeometric_cdf | ( | float8 | x, |
int4 | r, | ||
int4 | n, | ||
int4 | N | ||
) |
x | Random variate \( x \) |
r | Number \( r \in \{ 0, 1, \dots, N \} \) of items with distinct property (sometimes called the number of success states in population) |
n | Number \( n \in \{ 0, 1, \dots, N \} \) of draws (without replacement) |
N | Total number \( N \in \mathbb N \) of items |
float8 hypergeometric_pmf | ( | int4 | x, |
int4 | r, | ||
int4 | n, | ||
int4 | N | ||
) |
x | Random variate \( x \) |
r | Number \( r \in \{ 0, 1, \dots, N \} \) of items with distinct property (sometimes called the number of success states in population) |
n | Number \( n \in \{ 0, 1, \dots, N \} \) of draws (without replacement) |
N | Total number \( N \in \mathbb N \) of items |
float8 hypergeometric_quantile | ( | float8 | p, |
int4 | r, | ||
int4 | n, | ||
int4 | N | ||
) |
p | Probability \( p \in [0,1] \) |
r | Number \( r \in \{ 0, 1, \dots, N \} \) of items with distinct property (sometimes called the number of success states in population) |
n | Number \( n \in \{ 0, 1, \dots, N \} \) of draws (without replacement) |
N | Total number \( N \in \mathbb N \) of items |
float8 inverse_gamma_cdf | ( | float8 | x, |
float8 | shape, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
shape | Shape \( \alpha > 0 \) |
scale | Scale \( \beta > 0 \) |
float8 inverse_gamma_pdf | ( | float8 | x, |
float8 | shape, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
shape | Shape \( \alpha > 0 \) |
scale | Scale \( \beta > 0 \) |
float8 inverse_gamma_quantile | ( | float8 | p, |
float8 | shape, | ||
float8 | scale | ||
) |
p | Probability \( p \in [0,1] \) |
shape | Shape \( \alpha > 0 \) |
scale | Scale \( \beta > 0 \) |
float8 kolmogorov_cdf | ( | float8 | x | ) |
x | Random variate \( x \) |
float8 laplace_cdf | ( | float8 | x, |
float8 | mean, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
mean | Mean \( \mu \) |
scale | Scale \( b > 0 \) |
float8 laplace_pdf | ( | float8 | x, |
float8 | mean, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
mean | Mean \( \mu \) |
scale | Scale \( b > 0 \) |
float8 laplace_quantile | ( | float8 | p, |
float8 | mean, | ||
float8 | scale | ||
) |
p | Probability \( p \in [0,1] \) |
mean | Mean \( \mu \) |
scale | Scale \( b > 0 \) |
float8 logistic_cdf | ( | float8 | x, |
float8 | mean, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
mean | Mean \( \mu \) |
scale | Scale \( s > 0 \) |
float8 logistic_pdf | ( | float8 | x, |
float8 | mean, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
mean | Mean \( \mu \) |
scale | Scale \( s > 0 \) |
float8 logistic_quantile | ( | float8 | p, |
float8 | mean, | ||
float8 | scale | ||
) |
p | Probability \( p \in [0,1] \) |
mean | Mean \( \mu \) |
scale | Scale \( s > 0 \) |
float8 lognormal_cdf | ( | float8 | x, |
float8 | location, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
location | Location \( m \) |
scale | Scale \( s > 0 \) |
float8 lognormal_pdf | ( | float8 | x, |
float8 | location, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
location | Location \( m \) |
scale | Scale \( s > 0 \) |
float8 lognormal_quantile | ( | float8 | p, |
float8 | location, | ||
float8 | scale | ||
) |
p | Probability \( p \in [0,1] \) |
location | Location \( m \) |
scale | Scale \( s > 0 \) |
float8 negative_binomial_cdf | ( | float8 | x, |
float8 | r, | ||
float8 | sp | ||
) |
x | Random variate \( x \) |
r | Total number \( r > 0 \) of successes in \( x + r \) trials (assuming success in the last trial) |
sp | Success probability \( \mathit{sp} \in (0,1] \) in each trial |
float8 negative_binomial_pmf | ( | int4 | x, |
float8 | r, | ||
float8 | sp | ||
) |
x | Random variate \( x \) |
r | Total number \( r > 0 \) of successes in \( x + r \) trials (assuming success in the last trial) |
sp | Success probability \( \mathit{sp} \in (0,1] \) in each trial |
float8 negative_binomial_quantile | ( | float8 | p, |
float8 | r, | ||
float8 | sp | ||
) |
p | Probability \( p \in [0,1] \) |
r | Total number \( r > 0 \) of successes in \( x + r \) trials (assuming success in the last trial) |
sp | Success probability \( \mathit{sp} \in (0,1] \) in each trial |
float8 non_central_beta_cdf | ( | float8 | x, |
float8 | alpha, | ||
float8 | beta, | ||
float8 | ncp | ||
) |
x | Random variate \( x \) |
alpha | Shape \( \alpha > 0 \) |
beta | Shape \( \beta > 0 \) |
ncp | Noncentrality parameter \( \delta \geq 0 \) |
float8 non_central_beta_pdf | ( | float8 | x, |
float8 | alpha, | ||
float8 | beta, | ||
float8 | ncp | ||
) |
x | Random variate \( x \) |
alpha | Shape \( \alpha > 0 \) |
beta | Shape \( \beta > 0 \) |
ncp | Noncentrality parameter \( \delta \geq 0 \) |
float8 non_central_beta_quantile | ( | float8 | p, |
float8 | alpha, | ||
float8 | beta, | ||
float8 | ncp | ||
) |
p | Probability \( p \in [0,1] \) |
alpha | Shape \( \alpha > 0 \) |
beta | Shape \( \beta > 0 \) |
ncp | Noncentrality parameter \( \delta \geq 0 \) |
float8 non_central_chi_squared_cdf | ( | float8 | x, |
float8 | df, | ||
float8 | ncp | ||
) |
x | Random variate \( x \) |
df | Degrees of freedom \( \nu > 0 \) |
ncp | The noncentrality parameter \( \lambda \geq 0 \) |
float8 non_central_chi_squared_pdf | ( | float8 | x, |
float8 | df, | ||
float8 | ncp | ||
) |
x | Random variate \( x \) |
df | Degrees of freedom \( \nu > 0 \) |
ncp | The noncentrality parameter \( \lambda \geq 0 \) |
float8 non_central_chi_squared_quantile | ( | float8 | p, |
float8 | df, | ||
float8 | ncp | ||
) |
p | Probability \( p \in [0,1] \) |
df | Degrees of freedom \( \nu > 0 \) |
ncp | The noncentrality parameter \( \lambda \geq 0 \) |
float8 non_central_f_cdf | ( | float8 | x, |
float8 | df1, | ||
float8 | df2, | ||
float8 | ncp | ||
) |
x | Random variate \( x \) |
df1 | Degrees of freedom in numerator \( \nu_1 > 0 \) |
df2 | Degrees of freedom in denominator \( \nu_1 > 0 \) |
ncp | The noncentrality parameter \( \lambda \geq 0 \) |
float8 non_central_f_pdf | ( | float8 | x, |
float8 | df1, | ||
float8 | df2, | ||
float8 | ncp | ||
) |
x | Random variate \( x \) |
df1 | Degrees of freedom in numerator \( \nu_1 > 0 \) |
df2 | Degrees of freedom in denominator \( \nu_1 > 0 \) |
ncp | The noncentrality parameter \( \lambda \geq 0 \) |
float8 non_central_f_quantile | ( | float8 | p, |
float8 | df1, | ||
float8 | df2, | ||
float8 | ncp | ||
) |
p | Probability \( p \in [0,1] \) |
df1 | Degrees of freedom in numerator \( \nu_1 > 0 \) |
df2 | Degrees of freedom in denominator \( \nu_1 > 0 \) |
ncp | The noncentrality parameter \( \lambda \geq 0 \) |
float8 non_central_t_cdf | ( | float8 | x, |
float8 | df, | ||
float8 | ncp | ||
) |
x | Random variate \( x \) |
df | Degrees of freedom \( \nu > 0 \) |
ncp | Noncentrality parameter \( \delta \) |
float8 non_central_t_pdf | ( | float8 | x, |
float8 | df, | ||
float8 | ncp | ||
) |
x | Random variate \( x \) |
df | Degrees of freedom \( \nu > 0 \) |
ncp | Noncentrality parameter \( \delta \) |
float8 non_central_t_quantile | ( | float8 | p, |
float8 | df, | ||
float8 | ncp | ||
) |
p | Probability \( p \in [0,1] \) |
df | Degrees of freedom \( \nu > 0 \) |
ncp | Noncentrality parameter \( \delta \) |
float8 normal_cdf | ( | float8 | x, |
float8 | mean = 0 , |
||
float8 | sd = 1 |
||
) |
x | Random variate \( x \) |
mean | Mean \( \mu \) |
sd | Standard deviation \( \sigma > 0 \) |
float8 normal_cdf | ( | float8 | x, |
float8 | mean | ||
) |
float8 normal_cdf | ( | float8 | x | ) |
float8 normal_pdf | ( | float8 | x, |
float8 | mean = 0 , |
||
float8 | sd = 1 |
||
) |
x | Random variate \( x \) |
mean | Mean \( \mu \) |
sd | Standard deviation \( \sigma > 0 \) |
float8 normal_pdf | ( | float8 | x, |
float8 | mean | ||
) |
float8 normal_pdf | ( | float8 | x | ) |
float8 normal_quantile | ( | float8 | p, |
float8 | mean = 0 , |
||
float8 | sd = 1 |
||
) |
p | Probability \( p \in [0,1] \) |
mean | Mean \( \mu \) |
sd | Standard deviation \( \sigma > 0 \) |
float8 normal_quantile | ( | float8 | p, |
float8 | mean | ||
) |
float8 normal_quantile | ( | float8 | p | ) |
float8 pareto_cdf | ( | float8 | x, |
float8 | scale, | ||
float8 | shape | ||
) |
x | Random variate \( x \) |
scale | Scale \( \beta > 0 \) |
shape | Shape \( \alpha > 0 \) |
float8 pareto_pdf | ( | float8 | x, |
float8 | scale, | ||
float8 | shape | ||
) |
x | Random variate \( x \) |
scale | Scale \( \beta > 0 \) |
shape | Shape \( \alpha > 0 \) |
float8 pareto_quantile | ( | float8 | p, |
float8 | scale, | ||
float8 | shape | ||
) |
p | Probability \( p \in [0,1] \) |
scale | Scale \( \beta > 0 \) |
shape | Shape \( \alpha > 0 \) |
float8 poisson_cdf | ( | float8 | x, |
float8 | mean | ||
) |
x | Random variate \( x \) |
mean | Average occurrence rate \( \lambda > 0 \) |
float8 poisson_pmf | ( | int4 | x, |
float8 | mean | ||
) |
x | Random variate \( x \) |
mean | Average occurrence rate \( \lambda > 0 \) |
float8 poisson_quantile | ( | float8 | p, |
float8 | mean | ||
) |
p | Probability \( p \in [0,1] \) |
mean | Average occurrence rate \( \lambda > 0 \) |
float8 rayleigh_cdf | ( | float8 | x, |
float8 | scale | ||
) |
x | Random variate \( x \) |
scale | Scale \( \sigma > 0 \) |
float8 rayleigh_pdf | ( | float8 | x, |
float8 | scale | ||
) |
x | Random variate \( x \) |
scale | Scale \( \sigma > 0 \) |
float8 rayleigh_quantile | ( | float8 | p, |
float8 | scale | ||
) |
p | Probability \( p \in [0,1] \) |
scale | Scale \( \sigma > 0 \) |
float8 students_t_cdf | ( | float8 | x, |
float8 | df | ||
) |
x | Random variate \( x \) |
df | Degrees of freedom \( \nu > 0 \) |
float8 students_t_pdf | ( | float8 | x, |
float8 | df | ||
) |
x | Random variate \( x \) |
df | Degrees of freedom \( \nu > 0 \) |
float8 students_t_quantile | ( | float8 | p, |
float8 | df | ||
) |
p | Probability \( p \in [0,1] \) |
df | Degrees of freedom \( \nu > 0 \) |
float8 triangular_cdf | ( | float8 | x, |
float8 | lower, | ||
float8 | mode, | ||
float8 | upper | ||
) |
x | Random variate \( x \) |
lower | Lower bound \( a \) |
mode | Mode \( c \geq a \) |
upper | Upper bound \( b \geq c \), where \( b > a \) |
float8 triangular_pdf | ( | float8 | x, |
float8 | lower, | ||
float8 | mode, | ||
float8 | upper | ||
) |
x | Random variate \( x \) |
lower | Lower bound \( a \) |
mode | Mode \( c \geq a \) |
upper | Upper bound \( b \geq c \), where \( b > a \) |
float8 triangular_quantile | ( | float8 | p, |
float8 | lower, | ||
float8 | mode, | ||
float8 | upper | ||
) |
p | Probability \( p \in [0,1] \) |
lower | Lower bound \( a \) |
mode | Mode \( c \geq a \) |
upper | Upper bound \( b \geq c \), where \( b > a \) |
float8 uniform_cdf | ( | float8 | x, |
float8 | lower, | ||
float8 | upper | ||
) |
x | Random variate \( x \) |
lower | Lower bound \( a \) |
upper | Upper bound \( b \) |
float8 uniform_pdf | ( | float8 | x, |
float8 | lower, | ||
float8 | upper | ||
) |
x | Random variate \( x \) |
lower | Lower bound \( a \) |
upper | Upper bound \( b \) |
float8 uniform_quantile | ( | float8 | p, |
float8 | lower, | ||
float8 | upper | ||
) |
p | Probability \( p \in [0,1] \) |
lower | Lower bound \( a \) |
upper | Upper bound \( b \) |
float8 weibull_cdf | ( | float8 | x, |
float8 | shape, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
shape | Shape \( \alpha > 0 \) |
scale | Scale \( \beta > 0 \) |
float8 weibull_pdf | ( | float8 | x, |
float8 | shape, | ||
float8 | scale | ||
) |
x | Random variate \( x \) |
shape | Shape \( \alpha > 0 \) |
scale | Scale \( \beta > 0 \) |
float8 weibull_quantile | ( | float8 | p, |
float8 | shape, | ||
float8 | scale | ||
) |
p | Probability \( p \in [0,1] \) |
shape | Shape \( \alpha > 0 \) |
scale | Scale \( \beta > 0 \) |