Module stats 

Statistics builtins: cor, cov, weighted.mean, scale, complete.cases, na.omit, and distribution functions (d/p/q for norm, unif, exp, gamma, beta, cauchy, weibull, lnorm, chisq, t, f, binom, pois, geom, hyper).

Statics

__BUILTIN_REG_BUILTIN_COMPLETE_CASES 🔒

__BUILTIN_REG_BUILTIN_COR 🔒

__BUILTIN_REG_BUILTIN_COV 🔒

__BUILTIN_REG_BUILTIN_DBETA 🔒

__BUILTIN_REG_BUILTIN_DBINOM 🔒

__BUILTIN_REG_BUILTIN_DCAUCHY 🔒

__BUILTIN_REG_BUILTIN_DCHISQ 🔒

__BUILTIN_REG_BUILTIN_DEXP 🔒

__BUILTIN_REG_BUILTIN_DF_DIST 🔒

__BUILTIN_REG_BUILTIN_DGAMMA 🔒

__BUILTIN_REG_BUILTIN_DGEOM 🔒

__BUILTIN_REG_BUILTIN_DHYPER 🔒

__BUILTIN_REG_BUILTIN_DLNORM 🔒

__BUILTIN_REG_BUILTIN_DNORM 🔒

__BUILTIN_REG_BUILTIN_DPOIS 🔒

__BUILTIN_REG_BUILTIN_DT 🔒

__BUILTIN_REG_BUILTIN_DUNIF 🔒

__BUILTIN_REG_BUILTIN_DWEIBULL 🔒

__BUILTIN_REG_BUILTIN_NA_OMIT 🔒

__BUILTIN_REG_BUILTIN_PBETA 🔒

__BUILTIN_REG_BUILTIN_PBINOM 🔒

__BUILTIN_REG_BUILTIN_PCAUCHY 🔒

__BUILTIN_REG_BUILTIN_PCHISQ 🔒

__BUILTIN_REG_BUILTIN_PEXP 🔒

__BUILTIN_REG_BUILTIN_PF 🔒

__BUILTIN_REG_BUILTIN_PGAMMA 🔒

__BUILTIN_REG_BUILTIN_PGEOM 🔒

__BUILTIN_REG_BUILTIN_PHYPER 🔒

__BUILTIN_REG_BUILTIN_PLNORM 🔒

__BUILTIN_REG_BUILTIN_PNORM 🔒

__BUILTIN_REG_BUILTIN_PPOIS 🔒

__BUILTIN_REG_BUILTIN_PT 🔒

__BUILTIN_REG_BUILTIN_PUNIF 🔒

__BUILTIN_REG_BUILTIN_PWEIBULL 🔒

__BUILTIN_REG_BUILTIN_QBETA 🔒

__BUILTIN_REG_BUILTIN_QBINOM 🔒

__BUILTIN_REG_BUILTIN_QCAUCHY 🔒

__BUILTIN_REG_BUILTIN_QCHISQ 🔒

__BUILTIN_REG_BUILTIN_QEXP 🔒

__BUILTIN_REG_BUILTIN_QF 🔒

__BUILTIN_REG_BUILTIN_QGAMMA 🔒

__BUILTIN_REG_BUILTIN_QGEOM 🔒

__BUILTIN_REG_BUILTIN_QHYPER 🔒

__BUILTIN_REG_BUILTIN_QLNORM 🔒

__BUILTIN_REG_BUILTIN_QNORM 🔒

__BUILTIN_REG_BUILTIN_QPOIS 🔒

__BUILTIN_REG_BUILTIN_QT 🔒

__BUILTIN_REG_BUILTIN_QUNIF 🔒

__BUILTIN_REG_BUILTIN_QWEIBULL 🔒

__BUILTIN_REG_BUILTIN_SCALE 🔒

__BUILTIN_REG_BUILTIN_WEIGHTED_MEAN 🔒

Functions

apply_d_log 🔒

Post-process a density value: apply log if requested.

apply_p_flags 🔒

Post-process a probability value: apply lower.tail and log.p.

apply_q_flags 🔒

Pre-process a probability input for quantile functions: undo log.p and lower.tail.

betacf 🔒

Continued fraction for the incomplete beta function (Numerical Recipes, 3rd ed).

builtin_complete_cases 🔒

Return a logical vector indicating which “rows” have no NA values.

builtin_cor 🔒

Pearson correlation coefficient of two numeric vectors.

builtin_cov 🔒

Sample covariance of two numeric vectors.

builtin_dbeta 🔒

Beta density function.

builtin_dbinom 🔒

Binomial density (probability mass) function.

builtin_dcauchy 🔒

Cauchy density function.

builtin_dchisq 🔒

Chi-squared density function.

builtin_dexp 🔒

Exponential density function.

builtin_df_dist 🔒

F density function.

builtin_dgamma 🔒

Gamma density function.

builtin_dgeom 🔒

Geometric density (probability mass) function.

builtin_dhyper 🔒

Hypergeometric density (probability mass) function.

builtin_dlnorm 🔒

Log-normal density function.

builtin_dnorm 🔒

Normal density function.

builtin_dpois 🔒

Poisson density (probability mass) function.

builtin_dt 🔒

Student’s t density function.

builtin_dunif 🔒

Uniform density function.

builtin_dweibull 🔒

Weibull density function.

builtin_na_omit 🔒

Remove NA values from a vector.

builtin_pbeta 🔒

Beta cumulative distribution function.

builtin_pbinom 🔒

Binomial cumulative distribution function.

builtin_pcauchy 🔒

Cauchy cumulative distribution function.

builtin_pchisq 🔒

Chi-squared cumulative distribution function.

builtin_pexp 🔒

Exponential cumulative distribution function.

builtin_pf 🔒

F cumulative distribution function.

builtin_pgamma 🔒

Gamma cumulative distribution function.

builtin_pgeom 🔒

Geometric cumulative distribution function.

builtin_phyper 🔒

Hypergeometric cumulative distribution function.

builtin_plnorm 🔒

Log-normal cumulative distribution function.

builtin_pnorm 🔒

Normal cumulative distribution function.

builtin_ppois 🔒

Poisson cumulative distribution function.

builtin_pt 🔒

Student’s t cumulative distribution function.

builtin_punif 🔒

Uniform cumulative distribution function.

builtin_pweibull 🔒

Weibull cumulative distribution function.

builtin_qbeta 🔒

Beta quantile function (inverse CDF).

builtin_qbinom 🔒

Binomial quantile function (inverse CDF).

builtin_qcauchy 🔒

Cauchy quantile function (inverse CDF).

builtin_qchisq 🔒

Chi-squared quantile function (inverse CDF).

builtin_qexp 🔒

Exponential quantile function (inverse CDF).

builtin_qf 🔒

F quantile function (inverse CDF).

builtin_qgamma 🔒

Gamma quantile function (inverse CDF).

builtin_qgeom 🔒

Geometric quantile function (inverse CDF).

builtin_qhyper 🔒

Hypergeometric quantile function (inverse CDF).

builtin_qlnorm 🔒

Log-normal quantile function (inverse CDF).

builtin_qnorm 🔒

Normal quantile function (inverse CDF).

builtin_qpois 🔒

Poisson quantile function (inverse CDF).

builtin_qt 🔒

Student’s t quantile function (inverse CDF).

builtin_qunif 🔒

Uniform quantile function (inverse CDF).

builtin_qweibull 🔒

Weibull quantile function (inverse CDF).

builtin_scale 🔒

Center and/or scale a numeric vector.

builtin_weighted_mean 🔒

Weighted arithmetic mean.

dist_vectorize 🔒

Helper to vectorize a distribution function over the first argument.

dist_vectorize_d 🔒

Like dist_vectorize but applies log post-processing for density functions.

dist_vectorize_p 🔒

Like dist_vectorize but applies lower.tail/log.p post-processing for CDF functions.

dist_vectorize_q 🔒

Like dist_vectorize but applies lower.tail/log.p pre-processing for quantile functions.

erfc 🔒

Complementary error function — delegates to libm for machine-precision accuracy.

extract_bool_param 🔒

Extract a named bool parameter from named args, falling back to positional.

extract_log_flag 🔒

Extract the log flag from named arguments (for d* density functions).

extract_log_p 🔒

Extract the log.p flag from named arguments (for p*/q* functions).

extract_lower_tail 🔒

Extract the lower.tail flag from named arguments (for p*/q* functions).

extract_na_rm 🔒

Extract na.rm flag from named arguments.

extract_param 🔒

Extract a named f64 parameter from named args, falling back to positional.

filter_non_na 🔒

Filter a vector, keeping only non-NA elements.

gamma_cf_lentz 🔒

Lentz’s algorithm for the continued fraction representation of Q(a, x).

gamma_series 🔒

Series expansion for the regularized incomplete gamma function.

is_na_vec 🔒

Returns a Vec where true means the element is NA.

lchoose 🔒

Log of the binomial coefficient: lchoose(n, k) = lgamma(n+1) - lgamma(k+1) - lgamma(n-k+1).

ln_gamma 🔒

Log of the gamma function (via libm).

quantile_bisect 🔒

Bisection-based quantile finder given a CDF. Finds x such that cdf(x) = p.

quantile_bisect_discrete 🔒

Bisection-based quantile finder for discrete distributions. Finds smallest integer x such that cdf(x) >= p, searching in [lo, hi].

regularized_beta 🔒

Regularized incomplete beta function I_x(a, b) using the NR continued fraction.

regularized_gamma_p 🔒

Regularized lower incomplete gamma function P(a, x) = gamma(a, x) / Gamma(a). Uses series expansion for x < a+1, continued fraction otherwise.

std_normal_cdf 🔒

Standard normal CDF using the error function. pnorm(x) = 0.5 * erfc(-x / sqrt(2))

std_normal_pdf 🔒

Standard normal PDF: exp(-x^2/2) / sqrt(2*pi)

std_normal_quantile 🔒

Inverse standard normal CDF (quantile function).