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Symmetric distribution for continuous probability distribution, specifically standard normal distribution, showcasing its perfect symmetry about the mean (0). A symmetric discrete distribution, specifically a binomial distribution with 10 trials and a success probability of 0.5.
The Birnbaum–Saunders distribution, also known as the fatigue life distribution, is a probability distribution used extensively in reliability applications to model failure times. The chi distribution. The noncentral chi distribution; The chi-squared distribution, which is the sum of the squares of n independent Gaussian random variables.
In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein each of some finite whole number n of outcome values are equally likely to be observed. Thus every one of the n outcome values has equal probability 1/n. Intuitively, a discrete uniform distribution is "a known, finite number ...
In probability theory and statistics, the continuous uniform distributions or rectangular distributions are a family of symmetric probability distributions.Such a distribution describes an experiment where there is an arbitrary outcome that lies between certain bounds. [1]
Bell shaped functions are also commonly symmetric. Many common probability distribution functions are bell curves. Some bell shaped functions, such as the Gaussian function and the probability distribution of the Cauchy distribution, can be used to construct sequences of functions with decreasing variance that approach the Dirac delta ...
Unlike the nonstandardized t distributions, the noncentral distributions are not symmetric (the median is not the same as the mode). The discrete Student's t distribution is defined by its probability mass function at r being proportional to: [ 11 ] ∏ j = 1 k 1 ( r + j + a ) 2 + b 2 r = … , − 1 , 0 , 1 , …
A discrete probability distribution is the probability distribution of a random variable that can take on only a countable number of values [15] (almost surely) [16] which means that the probability of any event can be expressed as a (finite or countably infinite) sum: = (=), where is a countable set with () =.
Probability distribution fitting or simply distribution fitting is the fitting of a probability distribution to a series of data concerning ... Symmetrical distributions.