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Some New Probability Distributions Based On Random Extrema And Permutation Patterns, Jie Hao
Some New Probability Distributions Based On Random Extrema And Permutation Patterns, Jie Hao
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In this paper, we study a new family of random variables, that arise as the distribution of extrema of a random number N of independent and identically distributed random variables X1,X2, ..., XN, where each Xi has a common continuous distribution with support on [0,1]. The general scheme is first outlined, and SUG and CSUG models are introduced in detail where Xi is distributed as U[0,1]. Some features of the proposed distributions can be studied via its mean, variance, moments and moment-generating function. Moreover, we make some other choices for …