Dear Reader, imagine that you are a participant of Olympic Games, say, you are one of n
competitors in high-jumping. Before the start the future results of participants can be …

Characterization of distributions plays an important role in statistical science. Using the basic
properties of data, characterizations provide the type of distributions of that data set …

In this paper, we obtain recurrence relations for moment and conditional moment generating
functions of generalized order statistics (gos) based on random samples drawn from a …

This is a survey of characterizations of discrete distributions via properties of record values.
Characterization results based on records and weak records are presented. Then the …

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A complete characterization of the family of distributions with linearity of regression for future
non-adjacent weak records with spacing equal to two is given. Also, in the adjacent case …

In this paper we consider the record values of independent and ident ically distributed (iid)
random variables. Some basic properties of record values of univariate distributions are …

Let {Xn, n≥ 1} be a sequence of independent and identically distributed random variables
with cumulative distribution function F (x) and the corresponding probability density function f …

Let X_1,X_2,... be a sequence of independent and identically distributed random variables
taking on values 0,1,... with a distribution function F such that F(n)<1 for any n=0,1,... and …

Let X1, X2,… be independent identically distributed (iid) random variables (rvs) with support
on positive integers and (Wn, n⩾ 1) denote the corresponding sequence of weak record …