title: Lectures on Probability Theory and Mathematical Statistics - 3rd Edition
author:  Marco Taboga 
description: Marco Taboga is a professional financial economist with a passion for mathematics. Marco is a senior advisor at the Bank of Italy. He is an expert in finance and mathematical and statistical methods applied to finance. He holds a Ph.D. in applied mathematics and a Master in finance from the London School of Economics and Political Science. He has published several articles in top scholarly journals, including Mathematical Finance, The Journal of Money Credit and Banking, International Finance.
zlib_text: PROBABILITY
  AND
  MATHEMATICAL STATISTICS
  Prasanna Sahoo
  Department of Mathematics
  University of Louisville
  Louisville, KY 40292 USA
  
  v
  THIS BOOK IS DEDICATED TO
  AMIT
  SADHNA
  MY PARENTS, TEACHERS
  AND
  STUDENTS
  
  vi
  
  vii
  Copyright c⃝2008.
  All rights reserved.
  This book, or parts thereof, may
  not be reproduced in any form or by any means, electronic or mechanical,
  including photocopying, recording or any information storage and retrieval
  system now known or to be invented, without written permission from the
  author.
  
  viii
  
  ix
  PREFACE
  This book is both a tutorial and a textbook. This book presents an introduc-
  tion to probability and mathematical statistics and it is intended for students
  already having some elementary mathematical background. It is intended for
  a one-year junior or senior level undergraduate or beginning graduate level
  course in probability theory and mathematical statistics. The book contains
  more material than normally would be taught in a one-year course. This
  should give 