This book contains entirely new results, not to be found elsewhere. Furthermore, additional results scattered elsewhere in the literature are clearly presented. Several well-known distributions such as Weibull distributions, exponentiated Burr type XII distributions and exponentiated exponential distributions and their properties are demonstrated. Analysis of real as well as well-simulated data are analyzed. A number of inferences based on a finite mixture of distributions are also presented.

This book presents the theory of order statistics in a way, such that beginners can get easily acquainted with the very basis of the theory without having to work through heavily involved techniques. At the same time more experienced readers can check their level of understanding and polish their knowledge with certain details. This is achieved by, on the one hand, stating the basic formulae and providing many useful examples to illustrate the theoretical statements, while on the other hand an upgraded list of references will make it easier to gain insight into more specialized results. Thus this book is suitable for a readership working in statistics, actuarial mathematics, reliability engineering, meteorology, hydrology, business economics, sports analysis and many more.

The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering.

Provides in an organized manner characterizations of univariate probability distributions with many new results published in this area since the 1978 work of Golambos & Kotz "Characterizations of Probability Distributions" (Springer), together with applications of the theory in model fitting and predictions.

A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with records which play important roles in various fields of statistics and its application. This book enables a reader to check his/her level of understanding of the theory of record values. We give basic formulae which are more important in the theory and present a lot of examples which illustrate the theoretical statements. For a beginner in record statistics, as well as for graduate students the study of our book needs the basic knowledge of the subject. A more advanced reader can use our book to polish his/her knowledge. An upgraded list of bibliography which will help a reader to enrich his/her theoretical knowledge and widen the experience of dealing with ordered observations, is also given in the book.

Ordered Random Variables have attracted several authors. The basic building block of Ordered Random Variables is Order Statistics which has several applications in extreme value theory and ordered estimation. The general model for ordered random variables, known as Generalized Order Statistics has been introduced relatively recently by Kamps (1995).

The aim of the book is to give a through account of the basic theory of extreme value distributions. The book cover a wide range of materials available to date. The central ideas and results of extreme value distributions are presented. The book rwill be useful o applied statisticians as well statisticians interrested to work in the area of extremen value distributions.vmonograph presents the central ideas and results of extreme value distributions.The monograph gives self-contained of theory and applications of extreme value distributions.

In this book, Mohammad Ahsanullah provides a detailed description of the general theory and applications of record values. Professor Ahsanullah thoroughly discusses the most useful distributions and inferences based on record values, resulting in conclusions that are not available in previously published works. The book, written on an intermediate level that requires the basic knowledge of calculus, probability theory, and mathematical statistics, can be used as a text for advanced undergraduate or graduate level courses.

In 70 countries worldwide, there is an estimated 370 million indigenous peoples, and their rich diversity of cultures, religions, traditions, languages and histories has been significant source of our scholarships. However, the health status of this population group is far below than that of non-indigenous populations by all standards. Could the persisting reluctance to understand the influence of self-governance, globalization and social determinants of health in the lives of these people be deemed as a contributor to the poor health of indigenous peoples? Within this volume, Ullah explores the gap in health status between indigenous and non-indigenous peoples by providing a comparative assessment of socio-economic and health indicators for indigenous peoples, government policies, and the ways in which indigenous peoples have been resisting and adapting to state policies. A timely book for a growing field of study, Globalization and the Health of Indigenous Peoples is a must read for academics, policy-makers, and practitioners who are interested in indigenous studies and in understanding the role that globalization plays for the improvement of indigenous peoples' health across the world.

This book presents the theory of order statistics in a way, such that beginners can get easily acquainted with the very basis of the theory without having to work through heavily involved techniques. At the same time more experienced readers can check their level of understanding and polish their knowledge with certain details. This is achieved by, on the one hand, stating the basic formulae and providing many useful examples to illustrate the theoretical statements, while on the other hand an upgraded list of references will make it easier to gain insight into more specialized results. Thus this book is suitable for a readership working in statistics, actuarial mathematics, reliability engineering, meteorology, hydrology, business economics, sports analysis and many more.

In 70 countries worldwide, there is an estimated 370 million indigenous peoples, and their rich diversity of cultures, religions, traditions, languages and histories has been significant source of our scholarships. However, the health status of this population group is far below than that of non-indigenous populations by all standards. Could the persisting reluctance to understand the influence of self-governance, globalization and social determinants of health in the lives of these people be deemed as a contributor to the poor health of indigenous peoples? Within this volume, Ullah explores the gap in health status between indigenous and non-indigenous peoples by providing a comparative assessment of socio-economic and health indicators for indigenous peoples, government policies, and the ways in which indigenous peoples have been resisting and adapting to state policies. A timely book for a growing field of study, Globalization and the Health of Indigenous Peoples is a must read for academics, policy-makers, and practitioners who are interested in indigenous studies and in understanding the role that globalization plays for the improvement of indigenous peoples' health across the world.

This is a Nova Science Publication.

Exponential distribution is one of the most-used distributions in the theory and practice of statistics. It has several important properties like being memoryless and having a constant hazard rate. The field of characterization is developed in different branches of statistics and applied probability. Ordered random variables are common in various applications in practice. In this book, characterizations of exponential distribution using ordered random variables are presented. Most of the known results as well as many new results are given in this book. The aim of the book is to present various characterizations of exponential distribution based on ordered random variables. The book is written on a lower technical level and requires basic knowledge of mathematics and statistics. Chapter 1 gives some basic properties of exponential distribution. Chapters 2, 3, and 4 give the characterization of exponential distribution based on order statistics, record values, and generalized order statistics.

This book makes a significant contribution to the advancement of statistical science. It contains research in many statistical designs, compares many statistical models, and includes a theory that is oriented to real life problems.

It is the desire in a person that makes one seek the truth. And it is the silent whispers of the heart that stirs those desires to take the courageous path. Like the whispers of my heart to have my independent thinking, to examine everything. Like the yearning in me to find out why I exist and what really is the concept of God. This, led me to embark on my journey of discovery, I was ready to take on the challenge. Like me, every one of us desires to know the answers to the meaning of their lives and beliefs. Few gather the courage to walk this road. Fear of what they might discover at the Turning Point of the road grips them, fear of losing the comfort zone they possess shatters them and fear of being alone in the end terrifies them. So they shun their desire for truth and subdue their courage for questioning and challenging. What 'Turning Point' has to offer is only for those who are ready to meet their fears, take the challenge and find the answers. If our Creator is the truth, our puny challenges and questions can do no harm to its existence. Are you ready?

Univariate statistical distributions, with their basic properties, are an important part of advance statistics. The "Handbook on Univariate Statistical Distributions" includes most of the univariate statistical distributions that are used in practice. Author M. Ahsanullah has presented most of the common univariate discrete and continuous statistical distributions with their basic properties. For each distribution, most of the common basic properties-such as distribution functions, moments, and generating functions-are provided for easy reference. This information is integral to understanding and using these distributions.The first chapter includes definitions and concepts that are needed to study the distributions and some mathematical functions that are used in other chapters. Successive chapters include distributions and their generalized forms with basic properties and relations with other distributions. In addition, order statistics and record values are discussed for some of the distributions. The "Handbook on Univariate Statistical Distributions, " an excellent reference for researchers and practitioners who conduct in-depth statistical analysis, is the definitive guide to understanding the vitally important statistical distributions, designed with upper level undergraduate and graduate students in mind.

From time immemorial human beings migrated for many reasons. Theorists offered various explanations why they move from the place of their origin to another destination. Over the past centuries, forms, dynamics, routes and volumes of migration have changed dramatically. No single theory can provide a comprehensive explanation for the current migration trend. Ernest Ravenstein developed his Laws of Migration in 1889 and concluded that migration was governed by a push-pull process. Many theorists have followed in Ravenstein's footsteps, and the dominant theories in contemporary scholarship are more or less variations of his conclusions. However, most theories are region or country specific. This collection offers simplified explanations of dominant theories from different perspectives, and some experiences from Bangladesh. This is an essential piece of work for geographers, researchers and academics from any discipline in social sciences.

Ahsanullah (Rider University) presents recent work in applied statistics from around the world. Some specific topics covered are product integration and characterization on probability laws, bivariate Lukacs-type regression characterization, and characterizations of distributions by conditional expectations of generalized order statistics. Other subjects explored include characterization of distributions by regressional properties of records, moments of residual life, characterizing distributions by conditional expectations of functions of non-adjacent record values, and characterizations of univariate continuous distributions based on hazard function.

The exponential distribution is often used to model the failure time of manufactured items in production. If X denotes the time to failure of a light bulb of a particular make, with exponential distribution, then P(X>x) represent the survival of the light bulb. The larger the average rate of failure, the bigger will be the failure time. One of the most important properties of the exponential distribution is the memory-less property. This book presents various properties of the exponential distribution and inferences about them.

Computers have taken a permanent place in almost every human endeavor in the last 20 years. This infiltration requires a learning process on the part of the people utilizing them and realizing where and how computers can be best used beyond the basic and obvious applications. Statistics is an example of their application in many diverse fields to reach conclusions and make projections never before possible. Beyond this, applied statistics is rapidly becoming not only an instrument, but an integral part of the advance of knowledge. There are many fields such as medicine, biology, weather prediction, military planning, and numerous others where the statistical studies are essential before the next step can be taken. This new book presents the latest research in the field from around the globe.

The ordered random variables play important roles in the theory and practice of statistics. They possess significant statistical properties. Over the last few decades, many articles on various topics of ordered statistical data have appeared. Our handbook comprises twenty one chapters discussing various topics on theory and applications. The editors of this book worked together several articles on order and record statistics, which covered the subjects of distributional properties, characterisations and statistical inferences. It was a special interest to co-ordinate and edit an interesting research problem based on material contributed by several prominent researchers from all over the world. This book presents new developments in the subject of ordered random variables. These aspects involve theory of ordered random variables, reliability theory, stochastic ordering, bounds, characterisations, and estimation and prediction techniques.

Computers have taken a permanent place in almost every human endeavour in the last 20 years. This infiltration requires a learning process on the part of the people utilising them and realising where and how they can be best used beyond the basic and obvious applications. Statistics is an example of their application in many diverse fields to reach conclusions and make projections never before possible. Beyond this, applied statistics is rapidly becoming not only an instrument, but an integral part of the advance of knowledge. There are many fields such as medicine, biology, weather prediction, military planning, and many others where the statistical studies are essential before the next step can be taken. This book gathers together the latest research in this dynamic and link field.