Statistical Aid: A School of Statistics
Learn Statistics and Data Analysis Intuitively!
In statistics, probability distributions are very important measure which related to the random variable and statistical data. Every data patern follows a probability distribution. Continuous data follow the continuous distribution and discrete data follow the discrete distributions. According to wikipedia, “In probability theory and statistics, a probability distribution is the mathematical function that gives the … Read more
In probabilistic statistics, the gamma distribution is a two-parameter family of continuous probability distributions which is widely used in different sectors. The exponential distribution, Erlang distribution, and chi-square distribution are special cases of it. PDF of Gamma Distribution A continuous random variable X is said to have a generalized gamma distribution with parameter α … Read more
In probabilistic statistics, the exponential distribution is the probability distribution of the time between events in a Poisson point process where events occur continuously and independently at a constant average rate. It is a special case of the gamma distribution. The exponential distribution is frequently used to calculate the amount of time until a certain … Read more
Uniform distribution is a fundamental concept in probability theory and statistics. It represents a scenario where all outcomes are equally likely, making it an essential tool in data analysis, simulations, and real-world applications. It is used in statistics to describe a type of probability distribution in which every conceivable outcome has an equal chance of … Read more
A power series distribution is a discrete probability distribution that applies to a subset of natural numbers. The distribution’s names derive from the fact that the power series is used to construct them. This broad category of distributions includes a number of discrete distributions, such as the Poisson distribution, negative binomial distribution, and binomial distribution. … Read more
The logarithmic series distribution is a discrete probability distribution obtained from the Maclaurin series expansion. Sometimes it is known as log-series distribution. It has a long right tail with one parameter, which ranges from 0 to 1. This distribution models a wide range of events, including data on animal diversity and the frequency of insurance … Read more
The Negative Binomial Distribution (NBD) is a crucial probability distribution in statistics, especially in modeling count data with overdispersion. It is widely applied in fields such as epidemiology, finance, and machine learning. This article provides an in-depth exploration of the NBD, its formula, applications, and real-world significance. What is the Negative Binomial Distribution? The Negative … Read more
The geometric distribution is a discrete probability distribution that illustrates the probability that a Bernoulli trial will result in multiple failures before success. A Bernoulli trial is an experiment that can have only two possible outcomes, i.e., success or failure. In a geometric distribution, a Bernoulli trial is essentially repeated until success is attained. More … Read more
In probability statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement, from a finite population of size N that contains exactly K objects with that feature, wherein each draw is either a success or a failure. Mathematical definition A discrete random … Read more
The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period. A discrete random variable X is said to have Poisson distribution if its probability function is defined as, where λ is the parameter of the distribution and … Read more
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