A Bayesian approach for locating change points in a compound Poisson process with application to detecting DNA copy number variations

This work examines the problem of locating changes in the distribution of a Compound Poisson Process where the variables being summed are iid normal and the number of variable follows the Poisson distribution. A Bayesian approach is developed to identify the location of significant changes in any of the parameters of the distribution, and a sliding window algorithm is used to identify multiple change points. These results can be applied in any field of study where an interest in locating changes not only in the parameter of a normally distributed data set but also in the rate of their occurrence. It has direct application to the study of DNA copy number variations in cancer research, where it is known that the distances between the genes can affect their intensity level.     

Hajek–Renyi-type inequality and strong law of large numbers for END sequences

In this paper, we get the Hajek–Renyi-type inequality under 0 < q ? 2 for a sequence of extended negatively dependent (END) random variables with concrete coefficients, which generalizes and extends the general Hajek–Renyi-type inequality. In addition, we obtain some new results of the strong laws of large numbers and strong growth rate for END sequences.     

Exponential inequalities for sums of unbounded ϕ-mixing sequence and their applications

In the article, the exponential inequalities for sums of unbounded ?-mixing sequence are given, which generalize the corresponding one for independent and identically distributed random variables. As applications, the strong law of large numbers and strong growth rate for ?-mixing random variables are obtained.     

The strong laws of large numbers for weighted sums of extended negatively dependent random variables

In this paper, the strong laws of large numbers for maximum value of weighted sums of extended negatively dependent random variables are obtained, which improve and extend the corresponding ones for independent random variables and some dependent random variables.     

数形结合:数学解题方法归类叙论简

数形结合是解决数学问题的一种重要思想方法，在数学教学中占有重要地位。它是通过“以形助数。以数解形”的巧妙应用，使复杂问题简单化、抽象问题具体化，使问题能够轻松得到解决，从而起到事半功倍的效果。     

A glimpse of the impact of pál erd#ous on probability and statistics

The title of this article notwithstanding, it is the author's aspiration here to provide a bit more than merely a glimpse of some of Erdõs's contributions per se to probability‐statistics. He hopes to have succeeded in providing a guided tour of, and whenever it has appeared feasible, an introduction to, a few selected areas that have been strongly influenced by the work of Erdõs. The author also hopes to have succeeded in facilitating a glimpse of the impact of these contributions by presenting them in their historical context.     

王谢家族文艺门风试探

五朝时期 (东晋、宋、齐、梁、陈 )王谢家族的文学艺术生活十分丰富 ,王谢子弟人才辈出 ,世代不绝。其长盛不衰的原因在于他们累世位居高官 ,随之而来的物质生活极端优裕 ,为他们保持优美门风提供了物质基础。此外 ,社会上层的重视以及王谢家族维系家声的自身要求也是形成这一局面的原因     

谈英语听力中的数字

在听力中,迅速准确地对数字作出反应是十分重要的一项技能。大量事实表明,扎实的语言基本功及丰富的 背景知识,是应付听力中数字的最佳对策。     

华夏易道元圣 中华人文始祖

在距今八千年以前的新石器时代,中华古圣人伏羲发现宇宙万物一阴一阳之共同规律,并创造出了《易经》符号系统,它既是对物质现象规律的涵盖,也是对生命本质的总括。这个象数逻辑系统不是凭空产生的,在其象数的背后隐存着深刻的义、理、法则和原则,将宇宙哲理系统地隐示给后人,可以认为是一部具有严密象数逻辑的哲学专著,伏羲也不愧为是华夏易道元圣、中华人文始祖。     

The fibonacci distribution revisited

The Fibonacci distributions of Shane (1973) are extended to a family of power series distributions having the higher order Fibonacci numbers as coefficients. The distributions possess a waiting time interpretation that generalizes the geometric distribution and, in a special case, solves a waiting time problem in genetics Hazard function and modal behavior is examined In particular, the distributions can have an unlimited number of modes