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Different types of Statistical distributions

 

DistributionKey CharacteristicsCommon Use Cases
Normal (Gaussian)Mean (μ) is typically 0, Standard Deviation (σ) is 1Regression, Anomaly Detection, Central Limit Theorem
UniformAll values in the range are equally likelyRandom Sampling, Simulation, Monte Carlo Methods
BernoulliBinary outcome (e.g., success or failure)Binary Classification, A/B Testing
BinomialNumber of successes in fixed trials (n)Counting Successes/Failures, Probability Distributions
PoissonNumber of events in a fixed interval (λ)Count Data, Rare Event Modeling
ExponentialTime between events in Poisson process (λ)Survival Analysis, Reliability Engineering
Log-NormalLog of variable follows a Normal distributionModeling Positive Skewed Data
Chi-SquareHypothesis testing and confidence intervals (df)Goodness of Fit Tests, Independence Tests
Student's t-DistributionSmall sample sizes (df)t-Tests, Confidence Intervals
F-DistributionHypothesis testing, ANOVA (df1, df2)Analysis of Variance (ANOVA), Regression Analysis
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