Statistics How To

Probability and Statistics > Regression Analysis > Logistic Regression / Logit Model In order to understand logistic regression (also called the logit model), you may find it helpful to review these topics: The Nominal Scale. What is Linear Regression? What is logistic regression? Logistic regression, also called the logit model, estimates the probability of event … Read more

Statistics Definitions > Robust Statistics Contents: Definition of Robust Statistics Robust & Non-Robust Estimators When You Shouldn’t Rely on Robustness Breakdown Point Sensitivity curve Robust statistics: Methods and Tests for Analysis 1. What are Robust Statistics? Robust statistics are resistant to outliers. In other words, if your data set contains very high or very low … Read more

Statistics Definitions > Interactive Analytics Interactive analytics is an extension of real-time analytics that has the capacity to crunch through huge volumes of unstructured data at scale and at speed. It gives users the ability to run complex queries across complex data landscapes in real time. State-of-the-art Business Intelligence & Analytics systems allow you to … Read more

Probability Distributions > Noncentral beta distribution The noncentral beta distribution is a generalization of the Beta Distribution. The Beta distribution, although useful in many ways, has a significant drawback: it cannot properly model portions of data that have values next to zero and one [1]. The noncentral beta distribution overcomes this drawback. Some practical applications … Read more

Probability Distributions > PERT Distribution What is the PERT Distribution? PERT stands for Program Evaluation and Review Technique. It was developed in the 1950s for the Polaris weapon system to calculate a probable time frame for completion of the project based on optimistic, pessimistic, and most likely time frames. Nowadays, it is used for project … Read more

Probability Distributions > Semicircle distribution Wigner’s Semicircle Distribution The semicircle distribution, also known as Wigner’s semicircle distribution, is a continuous probability phenomenon whose shape could be likened to the classic half-moon. Centered around origin (0, 0), this distribution stretches outwards in either direction with an adjustable radius of R > 0 over the interval [-R … Read more

Statistics Definitions > Fiducual Inference / Fiducial distribution What is fiducial inference? Fiducial inference [1] produces a fiducial distribution for parameters without having to specify a prior probability distribution. The technique was acrimoniously debated in the statistical community for many years, practically disappeared after Fisher’s death, and resulted in confusion as to what the mysterious … Read more

Probability Distributions > Fisk distribution The Fisk distribution, also called the log-logistic distribution, is a continuous probability distribution that models the phenomenon of certain situations that start off with a rapid increase and then after some time begin to slow down. The distribution is named after P. Fisk, who proposed it to investigate weekly agriculture … Read more

List of probability distributions > Tweedie distribution What is a Tweedie distribution? The Tweedie distribution is a special case of an exponential distribution. It can have a cluster of data items at zero (called a “point mass”), which is particularly useful for modeling claims in the insurance industry, in medical/genomic testing, or anywhere else there … Read more

Probability Distributions > Erlang Distribution What is the Erlang Distribution? The Erlang distribution (sometimes called the Erlang-k distribution) was developed by A.K. Erlang to find the number of phone calls which can be made simultaneously to switching station operators. Erlang was a telecommunications engineer for the Copehagen Telephone Company; his formulas for loss and waiting … Read more