About the Authors
Prem C. Consul is professor emeritus in the Department of Mathematics and Statistics at the University of Calgary in Calgary, Alberta, Canada. Dr. Consul received his Ph.D. degree in mathematical statistics and a master’s degree in mathematics from Dr. Bhimrao Ambedkar University (formerly Agra University), Agra in India. Prior to joining the University of Calgary in 1967, he was a professor at the University of Libya for six years, the principal of a degree college in India for four years, and was a professor and assistant professor in degree colleges for ten years. He was on the editorial board of Communications in Statistics for many years. He is a well-known researcher in distribution theory and multivariate analysis. He published three books prior to the present one.
Felix Famoye is a professor and a consulting statistician in the Department of Mathematics at Central Michigan University in Mount Pleasant, Michigan, USA. Prior to joining the staff at Central Michigan University, he was a postdoctoral research fellow and an associate at the University of Calgary, Calgary, Canada. He received his B.SC. (Honors) degree in statistics from the University of Ibadan, Ibadan, Nigeria. He received his Ph.D. degree in statistics from the University of Calgary under the Canadian Commonwealth Scholarship. Dr. Famoye is a well-known researcher in statistics. He has been a visiting scholar at the University of Kentucky, Lexington and University of North Texas Health Science Center, Fort Worth, Texas. Prem C. Consul Felix Famoye
Lagrangian Probability Distributions
Birkhauser¨ Boston • Basel • Berlin Prem C. Consul Felix Famoye University of Calgary Central Michigal University Department of Mathematics and Statistics Department of Mathematics Calgary, Alberta T2N 1N4 Mount Pleasant, MI 48859 Canada USA
Cover design by Alex Gerasev.
Mathematics Subject Classification (2000): 60Exx, 60Gxx, 62Exx, 62Pxx (primary); 60E05, 60G50, 60J75, 60J80, 60K25, 62E10, 62P05, 62P10, 62P12, 62P30, 65C10 (secondary)
Library of Congress Control Number: 2005tba
ISBN-10 0-8176-4365-6 eISBN 0-8176- ISBN-13 978-0-8176-4365-2
Printed on acid-free paper.