Ever since the publication of the book ‘Fundamentals of Mathematical Statistics (FMS)’ by S.C. Gupta and V.K. Kapoor, there had been a pressing demand from a large number of teachers and students from all over the country to bring out a book providing hints/solutions/answers, to most of the typical problems in the Exercise Sets of the book. The present book is the outcome of their valued suggestions and may be regarded as a ‘sequel’’, rather a ‘supplement’ to the book FMS,. since in addition to the problems in the book FMS, a large number of new problems selected from the latest publications in statistics, and papers of various university examinations and competitive examinations have been included in this book.
This book is a modest though determined bid to serve as a self-study book for Undergraduate and Post-graduate courses in Statistics / Mathematics / Economics / Operations Research / M.C.A. of Indian Universities and also for those preparing for competitive examinations like Indian Civil Services, Indian Statistical Service and other examinations conducted by Indian Statistical Institute, RBI, Institute of Actuaries, CSIR, etc. While keeping in mind, the varied requirements of different levels, an attempt has been made to start with simple problems and then harder and advanced problems have been solved. A large number of problems (688 to be precise), selected from various text books on Statistics and examination papers of various universities and competitive examinations have been solved. The main emphasis is on the applications of the methods and techniques commonly used by statisticians and to expose the students / readers to different techniques of tackling problems and enable them to have a better and thoughtful understanding of the basic concepts of the subject.
The lucidity of style and simplicity of expression have been the twin objectives in preparing the text. At many places explanatory remarks; working steps and alternative methods have been given to widen the readers’ horizon. These will enable the readers to have a proper appreciation of the subject matter and fortify their confidence in the understanding and application of various methods.
A careful study of these problems is bound to motivate and stimulate the readers to work out any other given problems independently and so instill confidence in them.
This book, which contains 12 Chapters, as enumerated in the Contents, is primarily intended to serve as a self-help or self-study book for readers. Self-help induces selfconfidence and self-belief, which is a must for success in any discipline.