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MATHEMATICS RESEARCH DEVELOPMENTS
EXPONENTIAL DISTRIBUTION: THEORY AND METHODS
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MATHEMATICS RESEARCH DEVELOPMENTS
EXPONENTIAL DISTRIBUTION: THEORY AND METHODS
M. AHSANULLAH AND
G. G. HAMEDANI
Nova Science Publishers, Inc. New York
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NOTICE TO THE READER The Publisher has taken reasonable care in the preparation of this book, but makes no expressed or implied warranty of any kind and assumes no responsibility for any errors or omissions. No liability is assumed for incidental or consequential damages in connection with or arising out of information contained in this book. The Publisher shall not be liable for any special, consequential, or exemplary damages resulting, in whole or in part, from the readers’ use of, or reliance upon, this material. Any parts of this book based on government reports are so indicated and copyright is claimed for those parts to the extent applicable to compilations of such works. Independent verification should be sought for any data, advice or recommendations contained in this book. In addition, no responsibility is assumed by the publisher for any injury and/or damage to persons or property arising from any methods, products, instructions, ideas or otherwise contained in this publication. This publication is designed to provide accurate and authoritative information with regard to the subject matter covered herein. It is sold with the clear understanding that the Publisher is not engaged in rendering legal or any other professional services. If legal or any other expert assistance is required, the services of a competent person should be sought. FROM A DECLARATION OF PARTICIPANTS JOINTLY ADOPTED BY A COMMITTEE OF THE AMERICAN BAR ASSOCIATION AND A COMMITTEE OF PUBLISHERS.
LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA Ahsanullah, M. (Mohammad) Exponential distribution : theory and methods / Mohammad Ahsanullah, G.G. Hamedani. p. cm. Includes bibliographical references and index. ISBN 978-1-61324-566-8 (eBook) 1. Distribution (Probability theory) 2. Exponential families (Statistics) 3. Order statistics. I. Hamedani, G. G. (Gholamhossein G.) II. Title. QA273.6.A434 2009 519.2'4--dc22 2010016733
Published by Nova Science Publishers, Inc. New York
To Masuda, Nisar, Tabassum, Faruk, Angela, Sami, Amil and Julian MA To Azam , Azita , Hooman , Peter , Holly , Zadan and Azara GGH
Contents Preface 1.
ix
Introduction 1.1 Preliminaries
2. 2.1 2.2 2.3 2.4
Order Statistics Preliminaries and Definitions