invBeta(alpha, beta, X) — compute beta distribution quantiles from cumulative probabilities! 📈 Key for Bayesian inference, A/B testing, and modeling proportions with shape flexibility. #DolphinDB #Statistics #BetaDistribution

invBinomial(trials, p, X) — compute binomial quantiles from cumulative probabilities! 📊 Essential for hypothesis testing, reliability analysis, and discrete distribution modeling. #DolphinDB #Statistics #Probability

randLogistic(mean, s, count) — generate logistic‑distributed random numbers in a flash! 🎯 Ideal for robust regression simulations, choice modeling, and heavy‑tailed data synthesis. #DolphinDB #Statistics #RandomNumbers

rowIminLast(args…) — locate the rightmost minimum value per row in multi‑column data! 🔍 Perfect for last‑occurrence analysis, price‑volume matching, and row‑wise index extraction. #DolphinDB #RowWise #Indexing

cumPositiveStreak(X) — track the running sum of consecutive positive values! 📈 Perfect for real‑time momentum scoring, win‑streak tracking, and sequential pattern analysis. #DolphinDB #TimeSeries #Momentum

shapiroTest(X) — check normality with the Shapiro‑Wilk test in one line! 📊 Get p‑value & W‑stat instantly for statistical modeling, data validation, and hypothesis testing. #DolphinDB #Statistics #DataScience

maxPositiveStreak(X) — find the longest winning streak in numeric/logic sequences! 🔥 Essential for sports analytics, trading performance & run‑length analysis in one call. #DolphinDB #DataAnalysis

linearTimeTrend(X, window) — compute moving linear regression (alpha & beta) in one call! 📈 Streaming trend detection made easy—perfect for real‑time financial/quant signal analysis. #DolphinDB #TimeSeries

lastWeekOfMonth(X, weekday) — align dates to the last weekday of each month! 📅 Perfect for financial reporting, scheduling & monthly aggregation with flexible offset control. #DolphinDB #TimeSeries #FinancialData

regexFind(str, pattern) — locate the first regex match in strings with one call! 🔎 Fast pattern search for text mining, log parsing & data validation—offset control included. #DolphinDB #TextProcessing

randNormal(mean, stdev, count) — generate normally distributed random values instantly! 🎲 Perfect for Monte Carlo simulations, data augmentation & stochastic modeling. #DolphinDB #Statistics #RandomNumbers

crossStat(X, Y) — compute six key cross-moments in one shot: counts, sums, squares & products! ⚡ Ideal for fast covariance/correlation preprocessing & regression groundwork—minimize passes over data. #DolphinDB #DataScience #Analytics

coevent(event, time, window) — track simultaneous events within a time window! ⏳ Essential for IoT, network & sensor analysis to uncover hidden temporal patterns. #DolphinDB #EventAnalysis #IoT

talibNull(args…) — synchronize vectors by masking data before the first valid point! 🎭 Perfect for aligning time series in TA-Lib indicators where early nulls must be preserved. #DolphinDB #TA_Lib #TimeSeries

brute(func, ranges) — global optimization via exhaustive grid search! 🔍 Find global minima in multi-dimensional spaces — ideal for initial guess refinement in complex models.

rowEuclidean(X, Y) — compute pairwise Euclidean distances row by row, ignoring nulls! 📏 Perfect for similarity scoring, clustering & matrix comparisons in high-dimensional data. #DolphinDB #DataScience #MachineLearning

minIgnoreNull(X, Y) — get the clean minimum, automatically skipping nulls! ⬇️ Ideal for robust data comparisons in financial/time series where nulls should not distort results. #DolphinDB #DataCleaning

autocorr(X, lag) — measure serial dependency in time series with one line! 🔄 Essential for signal analysis & model diagnostics—fast lag-based insights from noise.

ewmCov — track dynamic risk & dependency with exponential weighted moving covariance! 📉 Flexible decay modes & real-time bias control for precise financial/quant modeling. #DolphinDB #TimeSeries

dropna(X) — clean your vectors & matrices by removing null values instantly!🗑️ Flexible row/column & threshold control for pristine datasets in real-time analysis. #DolphinDB #DataStructures