doi:10.21123/bsj.2014.11.2.829-840

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Publication Date

Sun Jun 01 2014

Journal Name

Baghdad Science Journal

Volume

11

Issue Number

2

DOI

10.21123/bsj.2014.11.2.829-840

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Ecological and Geographical distribution of species and genera of Primulaceae in Iraq

Primulaceae

Anagallis

Androsace

Dionysia

Lysimachia

Primula

Samolus

Geographical distribution

Huda J. Mohammed

Abdul Karim Kh.

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The present research deal with ecological and geographical distribution of species and genera of Primulaceae in Iraq. The results were revealed that species distributed in the north , north-east and west of Iraq. Anagallis arvensis L. is the most prevalent species tolerant to different environmental conditions, while the species of Primula L. characterized as less widespread and limited in one District. In addition, the districts Rawanduz (MRO) and Sulaymaniyah (MSU) have ranked first in distribution of the species on geographical districts with (75%), while the districts southern desert (DSD) and Basra (LBA) in last place with (16.7%). Maps for geographical distribution for all species were illustrated.

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Publication Date

Sun Sep 01 2019

Journal Name

Al-dhad Book Store

Multivariate Analysis - First Edition

matrix algebra

Linear Equation System

Characteristic root

Eigen value

vectors

Partitioned Matrices

Jacobi Matrix

Hessian matrix

Multivariate Normal Distribution.

Omar Abdulmohsin

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This Book is intended to be textbook studied for undergraduate course in multivariate analysis. This book is designed to be used in semester system. In order to achieve the goals of the book, it is divided into the following chapters. Chapter One introduces matrix algebra. Chapter Two devotes to Linear Equation System Solution with quadratic forms, Characteristic roots & vectors. Chapter Three discusses Partitioned Matrices and how to get Inverse, Jacobi and Hessian matrices. Chapter Four deals with Multivariate Normal Distribution (MVN). Chapter Five concern with Joint, Marginal and Conditional Normal Distribution, independency and correlations. Many solved examples are intended in this book, in addition to a variety of unsolved relied pro

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Publication Date

Fri Feb 01 2019

Journal Name

Al-dhad - Book Store And Publishing

Multivariate Analysis (First Edition)

matrix algebra

Linear Equation System

Characteristic root

Eigen value

vectors

Partitioned Matrices

Jacobian Matrix

Hessian matrix

Multivariate Normal Distribution

Omar Abdulmohsen

Asmaa Ghalib

Nabila

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This Book is intended to be textbook studied for undergraduate course in multivariate analysis. This book is designed to be used in semester system. In order to achieve the goals of the book, it is divided into the following chapters. Chapter One introduces matrix algebra. Chapter Two devotes to Linear Equation System Solution with quadratic forms, Characteristic roots & vectors. Chapter Three discusses Partitioned Matrices and how to get Inverse, Jacobi and Hessian matrices. Chapter Four deals with Multivariate Normal Distribution (MVN). Chapter Five concern with Joint, Marginal and Conditional Normal Distribution, independency and correlations. Many solved examples are intended in this book, in addition to a variety of unsolved relied pro

Publication Date

Thu Dec 30 2021

Journal Name

Iraqi Journal Of Science

Gompertz Fréchet stress-strength Reliability Estimation

Reliability

Stress- Strength

Gompertz Fréchet Distribution

Maximum Likelihood Estimator

Least square Estimator

Weighted Least square Estimator

Regression Estimator

Ranked set sampling estimator

Sarah A.

Nada S.

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In this paper, the reliability of the stress-strength model is derived for probability P(Y<X) of a component having its strength X exposed to one independent stress Y, when X and Y are following Gompertz Fréchet distribution with unknown shape parameters and known parameters . Different methods were used to estimate reliability R and Gompertz Fréchet distribution parameters, which are maximum likelihood, least square, weighted least square, regression, and ranked set sampling. Also, a comparison of these estimators was made by a simulation study based on mean square error (MSE) criteria. The comparison confirms that the performance of the maximum likelihood estimator is better than that of the other estimators.

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Publication Date

Sun Oct 02 2022

Journal Name

Al-manhaj

Mathematical Statistics - Second Edition

Mathematical Expectation

Moment Generating Function

Cumulative Distribution Function

Probability Mass Function

Probability Density Function

Discrete Distributions

Continuous Distributions

Joint distributions

Marginal Distributions

Conditional Distributions

Transformations

Order Statistics.

Omar Abdulmohsin

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This Book is the second edition that intended to be textbook studied for undergraduate/ postgraduate course in mathematical statistics. In order to achieve the goals of the book, it is divided into the following chapters. Chapter One introduces events and probability review. Chapter Two devotes to random variables in their two types: discrete and continuous with definitions of probability mass function, probability density function and cumulative distribution function as well. Chapter Three discusses mathematical expectation with its special types such as: moments, moment generating function and other related topics. Chapter Four deals with some special discrete distributions: (Discrete Uniform, Bernoulli, Binomial, Poisson, Geometric, Neg

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