Other Statistics and Probability Commons^™

Multivariate Analysis Of Ecologicai Data Using Canco, Anne M. Parkhurst

Department of Statistics: Faculty Publications

This book is about understanding and applying multivariate statistical methods useful for analyzing complex ecological problems. Researchers and students seeking to improve their ability to collect and analyze data from field observations and experiments, especially those interested in the response or variation of biotic communities to environmental conditions or experimental manipulation, will find this handbook helpful. The methods discussed are widely used in plant community ecology, as well as other areas in biology.

The book is tutorial in nature. The authors provide advice on how to best apply the multivariate statistical methods using the CANOCO for Windows, a licensed computer …

Effects Of Supplementation Of Whole Corn Germ On Reproductive Performance, Calf Performance, And Leptin Concentration In Primiparous And Mature Beef Cows, J. L. Martin, Richard J. Rasby, Dennis R. Brink, R. U. Lindquist, D. H. Keisler, Stephen D. Kachman

Department of Statistics: Faculty Publications

A 2-yr study using primiparous and multiparous, spring-calving, crossbred beef cows was conducted to evaluate the effects of supplemental whole corn germ on reproductive performance, calf performance, and serum leptin concentrations. Each year, cows were blocked by age and BCS and assigned randomly to one of three treatments: PRE (n = 115) cows received 1.14 kg/d (DM basis) of whole corn germ for approximately 45 d before calving; POST (n = 109) cows were fed 1.14 kg/d of whole corn germ for approximately 45 d after calving; and control cows (n = 118) were fed similar energy and protein from …

On The Linear Combination Of Exponential And Gamma Random Variables, Saralees Nadarajah, Samuel Kotz

Department of Statistics: Faculty Publications

The exact distribution of the linear combination αX + βY is derived when X and Y are exponential and gamma random variables distributed independently of each other. A measure of entropy of the linear combination is investigated. We also provide computer programs for generating tabulations of the percentage points associated with the linear combination. The work is motivated by examples in automation, control, fuzzy sets, neurocomputing and other areas of computer science.

Reliability For Some Bivariate Gamma Distributions, Saralees Nadarajah

Department of Statistics: Faculty Publications

In the area of stress-strength models, there has been a large amount of work as regards estimation of the reliability R = Pr(X < Y). The algebraic form for R = Pr(X < Y) has been worked out for the vast majority of the well-known distributions when X and Y are independent random variables belonging to the same univariate family. In this paper, we consider forms of R when (X,Y) follows a bivariate distribution with dependence between X and Y. In particular, we derive explicit expressions for R when the joint distribution is …

On The Product And Ratio Of Laplace And Bessel Random Variables, Sarlees Nadarajah

Department of Statistics: Faculty Publications

The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product |XY| and the ratio |X/Y| are derived when X and Y are Laplace and Bessel function random variables distributed independently of each other.

On The Product And Ratio Of Laplace And Bessel Random Variables, Saralees Nadarajah

Department of Statistics: Faculty Publications

The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product |XY| and the ratio |X/Y| are derived when X and Y are Laplace and Bessel function random variables distributed independently of each other.

On The Product And Ratio Of Bessel Random Variables, Saralees Nadarajah, Arjun K. Gupta

Department of Statistics: Faculty Publications

The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product |XY| and the ratio |X/Y| are derived when X and Y are independent Bessel function random variables. An application of the results is provided by tabulating the associated percentage points.

A Generalized Logistic Distribution, Saralees Nadarajah, Samuel Kotz

Department of Statistics: Faculty Publications

A generalized logistic distribution is proposed, based on the fact that the difference of two independent Gumbel-distributed randomvariables has the standard logistic distribution.