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Contents Gamma Distribution Gamma function Gamma distribution Chi-square distribution F distribution Gamma Distribution Since the probability is the ratio of the target cases to the total number of cases, it is important to calculate the total number of cases in calculating the probability. For discrete variables, the total number of cases is calculated using factorial. In the case of continuous variables, the factorial cannot be calculated directly because random variables are not countable. Instead, an integral expression corresponding to factorial is used, which can be replaced with gamma function . Therefore, the gamma distribution based on the gamma function is a distribution related to the exponential distribution and the normal distribution and is used in various fields. Gamma function The gamma function is expressed as Γ(x) and has the form of a factorial function in the realm of natural numbers, and is defined as Equation 1 for discrete and continuous va...

Contents probability mass function Cumulative Distribution Function(CDF) Bernoulli and the binomial probability distribution Discrete probability distribution The probability distribution is created based on the probability of each point or each interval in the sample space. Such a probability can be written as a function, and if the event (random variable) that is the object of the probability is a discrete variable, it is called probability mass function (PMF). Also, if it is a continuous variable, it is called probability density function (PDF). In both cases, the sum of each probability in a constant variable interval is called Cumulative Probability Distribution Function (CDF). The probability distribution can be expressed visually as a correspondence between the values ​​of each random variable and a function. The shape of these distributions tends to follow the distributions implemented by a particular function. Therefore, various statistical methods can be applied by a...