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Full-Text Articles in Physical Sciences and Mathematics
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
Electronic Theses and Dissertations
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 …
The Interquartile Range: Theory And Estimation., Dewey Lonzo Whaley
The Interquartile Range: Theory And Estimation., Dewey Lonzo Whaley
Electronic Theses and Dissertations
The interquartile range (IQR) is used to describe the spread of a distribution. In an introductory statistics course, the IQR might be introduced as simply the “range within which the middle half of the data points lie.” In other words, it is the distance between the two quartiles, IQR = Q3 - Q1. We will compute the population IQR, the expected value, and the variance of the sample IQR for various continuous distributions. In addition, a bootstrap confidence interval for the population IQR will be evaluated.