On Records in Sequences of Nonidentically Distributed Exponential Random Variables
نویسندگان
چکیده
منابع مشابه
On Some General Renewal Theorems for Nonidentically Distributed Variables @bullet @bullet on Some General Renewal Theorems for Nonidentically Distributed Variables
in probability and statistics at Chapel Hill. Reproduction in whole or in part· is permitted for any purpose of the United States Government.
متن کاملD-records in Geometrically Distributed Random Variables
We study d–records in sequences generated by independent geometric random variables and derive explicit and asymptotic formulæ for expectation and variance. Informally speaking, a d–record occurs, when one computes the d–largest values, and the variable maintaining it changes its value while the sequence is scanned from left to right. This is done for the “strict model,” but a “weak model” is a...
متن کاملMultivariate order statistics based on dependent and nonidentically distributed random variables
1. Joint binomial moments (bivariate case) The last two decades have seen major developments in the theory of order statistics and its applications to practical problems. Under the impetus of advances in the probabilistic theory, new statistical methods have been developed for both univariate and multivariate problems. The books by [6,1,5] are considered among the most popular books on this top...
متن کاملRandom Trigonometric Polynomials with Nonidentically Distributed Coefficients
This paper provides asymptotic estimates for the expected number of real zeros of two different forms of random trigonometric polynomials, where the coefficients of polynomials are normally distributed random variables with different means and variances. For the polynomials in the form of a0 a1 cos θ a2 cos 2θ · · · an cosnθ and a0 a1 cos θ b1 sin θ a2 cos 2θ b2 sin 2θ · · · an cosnθ bn sinnθ,w...
متن کاملOn the bounds in Poisson approximation for independent geometric distributed random variables
The main purpose of this note is to establish some bounds in Poisson approximation for row-wise arrays of independent geometric distributed random variables using the operator method. Some results related to random sums of independent geometric distributed random variables are also investigated.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Theory and Applications
سال: 2017
ISSN: 1538-7887
DOI: 10.2991/jsta.2017.16.3.1