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Comments On “On The Distribution Of The Product Of Independent Rayleigh Random Variables”, Saralees Nadarajah, Samuel Kotz
Comments On “On The Distribution Of The Product Of Independent Rayleigh Random Variables”, Saralees Nadarajah, Samuel Kotz
Department of Statistics: Faculty Publications
It is pointed out that the result in Salo et al. “The Distribution of the Product of Independent Rayleigh Random Variables” IEEE Trans. Antennas Propag., vol. 54, pp. 639–643, Feb. 2006, is a particular case of a much more general result known since the 1970s. A general technique (known as the H function technique) is described that can be used derive a wide range of results similar to Salo et al.
Comments On “On The Distribution Of The Product Of Independent Rayleigh Random Variables”, Saralees Nadarajah, Samuel Kotz
Comments On “On The Distribution Of The Product Of Independent Rayleigh Random Variables”, Saralees Nadarajah, Samuel Kotz
Department of Statistics: Faculty Publications
It is pointed out that the result in Salo et al. “The Distribution of the Product of Independent Rayleigh Random Variables” IEEE Trans. Antennas Propag., vol. 54, pp. 639–643, Feb. 2006, is a particular case of a much more general result known since the 1970s. A general technique (known as the function technique) is described that can be used derive a wide range of results similar to Salo et al.
The Exact Distribution Of The Multilook Magnitude, Saralees Nadarajah, Samuel Kotz
The Exact Distribution Of The Multilook Magnitude, Saralees Nadarajah, Samuel Kotz
Department of Statistics: Faculty Publications
Gierull provides a statistical analysis of multilook synthetic aperture radar interferograms. Various expressions for the probability density function, cumulative distribution function, and the moments of associated statistics are derived. It appears, however, that most of these expressions are based on some approximation. In this letter, the corresponding expressions are derived in their exact form, including some elementary representations for certain expressions given by Gierull. A numerical comparison of the exact and approximate expressions is provided.
On The Η - Κ Distribution, Saralees Nadarajah, Samuel Kotz
On The Η - Κ Distribution, Saralees Nadarajah, Samuel Kotz
Department of Statistics: Faculty Publications
The recent paper by Yacoub et al. [1] introduces what is referred to as the η – κ distribution to describe the statistical variation of the envelope in a fast fading environment. The paper discusses several properties of the distribution. Two of the properties discussed are the nth moment, E(Pn), and the cumulative probability function (cpf), FPP (•), where P is a random variable representing the normalized envelope. The expression given for E(Pn) (see equation (10) in Yacoub et al. [1]) is a doubly infinite sum of the Gauss hypergeometric function …
On The Η – Κ Distribution, Saralees Nadarajah, Samuel Kotz
On The Η – Κ Distribution, Saralees Nadarajah, Samuel Kotz
Department of Statistics: Faculty Publications
The recent paper byYacoub et al. [1] introduces what is referred to as the η – κ distribution to describe the statistical variation of the envelope in a fast fading environment. The paper discusses several properties of the distribution. Two of the properties discussed are the nth moment, E(Pn), and the cumulative probability function (cpf), FP (•), where P is a random variable representing the normalized envelope. The expression given for E(Pn) (see equation (10) in Yacoub et al. [1]) is a doubly infinite sum of the Gauss hypergeometric function (which, itself, is an infinite …
Computation Of A Face Attractiveness Index Based On Neoclassical Canons, Symmetry, And Golden Ratios, Kendra Schmid, David Marx, Ashok Samal
Computation Of A Face Attractiveness Index Based On Neoclassical Canons, Symmetry, And Golden Ratios, Kendra Schmid, David Marx, Ashok Samal
Department of Statistics: Faculty Publications
Analysis of attractiveness of faces has long been a topic of research. Literature has identified many different factors that can be related to attractiveness including symmetry, averageness, sexual dimorphism and adherence to the Golden Ratio. In this research we systematically analyze the role of three factors: symmetry, conformance to Neoclassical Canons and the Golden Ratio in the determination of attractiveness of a face. Unlike many researchers, we focus on the geometry of a face and use actual faces in standardized databases for our analysis. Our results are in agreement with the literature in that males and females generally agree on …
Variation In The U.S. Photoperiod Insensitive Sorghum Collection For Chemical And Nutritional Traits, Tisha L. Hooks, Jeffrey F. Pedersen, D. B. Marx, K. P. Vogel
Variation In The U.S. Photoperiod Insensitive Sorghum Collection For Chemical And Nutritional Traits, Tisha L. Hooks, Jeffrey F. Pedersen, D. B. Marx, K. P. Vogel
Department of Statistics: Faculty Publications
Screening germplasm for chemical and nutritional content can be expensive and time consuming. Near infrared spectroscopy (NIRS) and application of geostatistical models can make screening more efficient. The objectives of this study were to utilize these technologies to: (i) generate chemical and nutritional values for the U.S. photoperiod insensitive sorghum collection, (ii) describe variability for those traits, (iii) identify accessions in the highest and lowest 1% for each trait, and (iv) describe relationships among the accessions. Accessions were grown at Ithaca, NE, during 2001 and 2002. Samples of grain were scanned and NIRS equations developed for starch, fat, crude protein, …
Trans-10, Cis-12 Conjugated Linoleic Acid Causes Inflammation And Delipidation Of White Adipose Tissue In Mice: A Microarray And Histological Analysis, P. Christopher Larosa, Jess L. Miner, Yuannan Xia, You Zhou, Stephen D. Kachman, Michael Fromm
Trans-10, Cis-12 Conjugated Linoleic Acid Causes Inflammation And Delipidation Of White Adipose Tissue In Mice: A Microarray And Histological Analysis, P. Christopher Larosa, Jess L. Miner, Yuannan Xia, You Zhou, Stephen D. Kachman, Michael Fromm
Department of Statistics: Faculty Publications
A combined histological and microarray analysis of the white adipose tissue (WAT) of mice fed trans-10, cis-12 conjugated linoleic acid (t10c12 CLA) was performed to better define functional responses. Mice fed t10c12 CLA for 14 days lost 85% of WAT mass, 95% of adipocyte lipid droplet volume, and 15 or 47% of the number of adipocytes and total cells, respectively. Microarray profiling of replicated pools (n = 2 per day x diet) of control and treated mice (n = 140) at seven time points after 1–17 days of t10c12 CLA feeding found between 2,682 and 4,216 …
Pregnancy Rate And First-Service Conception Rate In Angus Heifers, J. Minick Bormann, L. R. Totir, Stephen D. Kachman, R. L. Fernando, D. E. Wilson
Pregnancy Rate And First-Service Conception Rate In Angus Heifers, J. Minick Bormann, L. R. Totir, Stephen D. Kachman, R. L. Fernando, D. E. Wilson
Department of Statistics: Faculty Publications
The objective of this project was to determine the genetic control of conception rate, or pregnancy percentage in Angus beef heifers. Producers from 6 herds in 5 states provided 3,144 heifer records that included breeding dates, breeding contemporary groups, service sires, and pregnancy check information. Two hundred fourteen sires of the heifers were represented; with 104 sires having less than 5 progeny, and 14 sires having greater than 50 progeny. These data were combined with performance and pedigree information, including actual and adjusted birth weights, weaning weights, and yearling weights, from the American Angus Association database. Heifer pregnancy rate varied …
Closed Form Expressions For Bayesian Sample Size, Bertrand S. Clarke, A. Yuan
Closed Form Expressions For Bayesian Sample Size, Bertrand S. Clarke, A. Yuan
Department of Statistics: Faculty Publications
Sample size criteria are often expressed in terms of the concentration of the posterior density, as controlled by some sort of error bound. Since this is done pre-experimentally, one can regard the posterior density as a function of the data. Thus, when a sample size criterion is formalized in terms of a functional of the posterior, its value is a random variable. Generally, such functionals have means under the true distribution. We give asymptotic expressions for the expected value, under a fixed parameter, for certain types of functionals of the posterior density in a Bayesian analysis. The generality of our …
Reliability For Some Bivariate Exponential Distributions, Saralees Nadarajah, Samuel Kotz
Reliability For Some Bivariate Exponential Distributions, Saralees Nadarajah, Samuel Kotz
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, forms of R are considered when (X,Y) follow bivariate distributions with dependence between X and Y. In particular, explicit expressions for R are derived when the joint distribution is bivariate …
Quotient Of Laplace And Gumbel Random Variables, Saralees Nadarajah
Quotient Of Laplace And Gumbel Random Variables, Saralees Nadarajah
Department of Statistics: Faculty Publications
The Gumbel and the Laplace distributions are perhaps two of the most applied distributions in engineering. Motivated by engineering issues, the exact distribution of the quotient |X/Y| is derived when X and Y are independent Gumbel and Laplace random variables. Tabulations of the associated percentage points and a computer program for generating them are also given.