Oscillations for order statistics of some discrete processes
نویسندگان
چکیده
منابع مشابه
A Clustering Law for Some Discrete Order Statistics
Let X1, X2, . . . Xn be a sequence of independent, identically distributed positive integer random variables with distribution function F . In 1970, Anderson (J. Appl. Probab., 7, 99-113) proved a variant of the law of large numbers by showing that the sample maximum asymptotically moves on two values if and only if F satisfies a “clustering” condition, limn→∞[1 − F (n + 1)]/[1 − F (n)] = 0. In...
متن کاملasymptotic property of order statistics and sample quntile
چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
15 صفحه اولOn the asymptotics of discrete order statistics
Let X1; X2; : : : ; Xn be a sequence of independent, identically distributed positive integer random variables. We study the asymptotics of the likelihood that the sample maximum is achieved k times and in its spacing relative to the second highest value. Earlier and other results are discussed in context. Also, some investigation is made when the sample is Markovian. Di1erent results emerge in...
متن کاملSome New Results on Stochastic Orderings between Generalized Order Statistics
In this paper we specify the conditions on the parameters of pairs of gOS’s under which the corresponding generalized order statistics are ordered according to usual stochastic ordering, hazard rate ordering, likelihood ratio ordering and dispersive ordering. We consider this problem in one-sample as well as two-sample problems. We show that some of the results obtained by Franco et al. ...
متن کاملBoundary Crossing of Order Statistics Point Processes
This paper is concerned with the first crossing of an order statistic point process through general moving boundaries. Our purpose is to determine exact boundary crossing probabilities in both one and two boundary cases. Simple recursive methods are obtained that exploit an underlying algebraic structure of polynomial type. This structure is a direct consequence of the order statistic property....
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 Applied Probability
سال: 2020
ISSN: 0021-9002,1475-6072
DOI: 10.1017/jpr.2020.25