Association of Random Variables, with Applications
نویسندگان
چکیده
منابع مشابه
Exact inequalities for sums of asymmetric random variables, with applications
Let BS1, . . . ,BSn be independent identically distributed random variables each having the standardized Bernoulli distribution with parameter p ∈ (0, 1). Let m∗(p) := (1 + p+ 2 p2)/(2 √ p − p2 +4 p2) if 0 < p 6 1 2 and m∗(p) := 1 if 1 2 6 p < 1. Let m > m∗(p). Let f be such a function that f and f ′′ are nondecreasing and convex. Then it is proved that for all nonnegative numbers c1, . . . , c...
متن کاملsome maximal inequalities for random variables and applications
in this paper, we extend some famous maximal inequalities and obtain strong laws of largenumbers for arbitrary random variables by use of these inequalities and martingale techniques.
متن کاملCompetition between discrete random variables, with applications to occupancy problems
Consider n players whose ‘‘scores’’ are independent and identically distributed values fXigi 1⁄4 1 from some discrete distribution F. We pay special attention to the cases where (i) F is geometric with parameter p-0 and (ii) F is uniform on f1;2; . . . ;Ng; the latter case clearly corresponds to the classical occupancy problem. The quantities of interest to us are, first, the U-statistic W whic...
متن کاملOn the Ratio of Rice Random Variables
The ratio of independent random variables arises in many applied problems. In this article, the distribution of the ratio X/Y is studied, when X and Y are independent Rice random variables. Ratios of such random variable have extensive applications in the analysis of noises of communication systems. The exact forms of probability density function (PDF), cumulative distribution function (CDF) a...
متن کاملNew Applications of Fractional Calculus on Probabilistic Random Variables
New results and new applications of fractional calculus for continuous random variables are presented. Some classical integral results are also generalized. On the other hand, some results (corollaries) on the paper [Fractional integral inequalities for continuous random variables, Malaya J. Mat. 2(2014), 172–179] are corrected.
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: The Annals of Mathematical Statistics
سال: 1967
ISSN: 0003-4851
DOI: 10.1214/aoms/1177698701