Distribution of the product of independent hypergeometric function type I variables.(Report) From: International Journal of Applied Mathematics &Statistics | Date: March 1, 2008| Author: Alvarez, Jose Angel; Nagar, Daya K. | COPYRIGHT 2008 Centre for Environment, Social, and Economic Research. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan.  All inquiries regarding rights should be directed to the Gale Group.Copyright information

ABSTRACT

The hypergeometric function type I distribution has the probability density function proportional to [x.sup.[upsilon]-1][(1 - x).sup.[gamma]-1][sub.2][F.sub.1]([alpha], [beta]; [gamma]; 1 - x), 0 < x < 1. In this article, we derive probability density function of the product of two independent random variables having hypergeometric function type I distribution. We also consider several other products involving hypergeometric function type l, beta type l, beta ty...

Related newspaper, magazine, and journal articles from HighBeam Research

	A nonparametric test for independence between two vectors. Journal of the American Statistical Association ; 1. INTRODUCTION Consider the problem of detecting dependence between two random vectors, where the dimensions of the vectors may be different. The proposed test is based on a sample of pairs. Let {[Mathematical Expression Omitted], i = 1, . . ., n} denote a random sample of n pairs, with
	Inhibition of Net Nitrate Uptake by Ammonium in Pima and Acala Cotton Roots. Crop Science ; EXPOSURE OF PLANT ROOTS to [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] inhibits net [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] uptake (Aslam et al., 1994; Kronzucker et al., 1999). Inhibition of net [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] uptake by [MATHEMATICAL
	On the relations among characteristic functions of theta functions. Journal of Mathematics and Statistics ; Abstract: In this study, using the characteristic values [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (mod2) a theorem on the 1/[2.sup.r] coefficients of periods of first order theta function according to the (1, [tau]) period pair (for r [member of] [N.sup is established. The following
	Root n bandwidth selectors for kernel estimation of density derivatives. Journal of the American Statistical Association ; 1. INTRODUCTION Let [X.sub.1], . . ., [X.sub.n] be a random sample from an unknown density f. Let [g.sup.(k)] denote the kth derivative of any function g. Consider the kernel estimate of [f.sup.(kx) of the form [Mathematical Expression Omitted], -[infinity] [less than] x [less than] [infinity], (1)
	Semiparametric efficiency in multivariate regression models with missing data. Journal of the American Statistical Association ; 1. INTRODUCTION We consider a longitudinal study conducted over a fixed interval from time 1 to T. Let [Y.sub.i] = Y.sub.i1], . . . , [Y.sub.iTsup.T], i = 1, . . . , n, be the vector of multivariate outcomes corresponding to the ith subject measured at prespecified visit times (1, . . . , T) . Here
	Dual cones, dual norms, and simultaneous inference for partially ordered means. Journal of the American Statistical Association ; 1. INTRODUCTION Let [[micro].sub.1micro].sub.m] be the means of corresponding observations [X.sub.1X.sub.m]. Let [micro] = micro].sub.1micro].sub.m]' We are motivated by the problem of finding tight simultaneous confidence intervals for a (restricted) set of contrasts [Mathematical Expression
	Comparing cultivars of three cool-season turfgrasses for soil water NO3(super -) concentration and leaching potential. Crop Science ; Nitrate is a highly mobile anion in the soil and it has the potential to leach below the root zone and into ground water. Once [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] has leached to ground water, there is little chance of upward movement back to the root zone. Nitrate leaching has
	Estimation and testing for unit roots in a partially nonstationary vector autoregressive moving average model. Journal of the American Statistical Association ; [Mathematical Expression Omitted] as T [approaches] [infinity], and it follows that [Mathematical Expression Omitted] as T [approaches] [infinity]. By Markov's inequality, the result follows. 1. INTRODUCTION Investigations concerning the joint nonstationarity among components of an m-dimensional
	NITROGEN SATURATION AND RETENTION IN FORESTED WATERSHEDS OF THE CATSKILL MOUNTAINS, NEW YORK. Ecological Applications ; ... wetlands in watershed, based on topographic maps. While some streams have been added to ... determined from 1:24 000 scale topographic maps. Watershed topographic variables were defined ... Angela Poe for analysis of the topographic maps. This is a contribution to the program ...
	The Pitman closeness of a class of scaled estimators. The American Statistician ; 1. INTRODUCTION For a parameter [Theta] with unbiased estimator [Mathematical Expression Omitted] Searls and Intarapanich (1990) proposed the scaled estimator [Mathematical Expression Omitted] to decrease the mean square error (MSE) of estimation. They observed that the MSE of [Mathematical

See all results.