Product and quotient of correlated beta variables

نویسندگان

  • Daya K. Nagar
  • Johanna Marcela Orozco-Castañeda
  • Arjun K. Gupta
چکیده

Let U, V, W be independent random variables having a standard gamma distribution with respective shape parameters a, b, c, and define X = U/(U + W), Y = V/(V + W). Clearly, X and Y are correlated each having a beta distribution, X ∼ B(a, c) and Y ∼ B(b, c). In this article we derive probability density functions of XY, X/Y and X/(X + Y).

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Distributions of the Product and the Quotient of Independent Kummer-beta Variables

The univariate Kummer-beta family of distributions has been proposed and studied recently by K. W. Ng and Samuel Kotz. This distribution is an univariate extension of the beta distribution. In this article, we derive the distributions of the product and the quotient of independent Kummer-beta variables.

متن کامل

Pdf of quotient of random variables

A ratio distribution or quotient distribution is a probability distribution constructed as the distribution of the ratio of random variables having two other known.taining to a variety of product and quotient forms of random variables. As the probability density function,p.d.f,of random variable X. pdf of a quotient of uniform random variables. Up vote 1 down vote favorite. Suppose are IDD rand...

متن کامل

Prediction of Psychological Well-Being Based on Dispositional Mindfulness and Cognitive Emotion Regulation Strategies in Students

Objective: The purpose of this study was to investigate the relationship of psychological wellbeing with variables of mindfulness and emotion regulation strategies, and then to identify which one predicts better psychological well-being. Methods: We used a descriptive-analytical design for this study. A total of 243 students from 3 Tehran universities were selected using the con...

متن کامل

Quotient Arens regularity of $L^1(G)$

Let $mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $mathcal{A}^prime$. In this paper we study the quotient Arens regularity of $mathcal{A}$ with respect to $E$ and prove that the group algebra $L^1(G)$ for a locally compact group $G$, is quotient Arens regular with respect to certain introverted subspace $E$ of $L^infty(G)$. Some related result are given as well.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Appl. Math. Lett.

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2009