Distribution Pearson system

Systems of distributions, such as the Pearson system (Pearson 1894) and the Johnson system (Johnson et al. 1994), can be used to select a distribution based on the skewness and kurtosis, as well as mean and variance. The Student t and logistic distributions are symmetric (like the normal distribution) but have heavier tails than the normal distribution. 

Pearson and Lee (1991) examined the effects of particle-size and particle-distribution effects on rubber-toughened epoxy resins. They examined a variety of CTBN liquid rubbers and a methacrylated butadiene styrene core-shell particle in a DGEBA-piperidine system. They found that the toughening mechanism for small particles was internal cavitation of the... 

Approximating the distribution of a random variable using its moments of finite order is a well known problem in statistics, and various approximations such as the Pearson, Johnson and Burr systems, the Edgeworth and Cornish-Fisher expansions were developed (Stuart and Ord 1987). Their applications in structural reliability have been examined by Winterstein (1988), Grigoriu (1983), Hong (1996). In the present study, the fourth moment standardization function will be used. For the standardized performance function,... 

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