Probability Statistics And Queuing Theory By Sc Gupta V K Kapoor Pdf

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Probability statistics and queuing theory by s c gupta v k kapoor free download

Contains, besides complete theory, more than fully solved examples and more than 1, thought-provoking Problems with Answers, and Objective Type Questions. The book has been revised keeping in mind the comments and suggestions received from the readers. The book originally written twenty-four years ago has, during the intervening period, been revised and reprinted seve'ral times.

They now take great pleilsure in presenting to the readers the ninth completely revised and enlarged edition of the book. The subjectmatter in the whole book has been rewritten in the light of numerous criticisms and suggestions received from the users of the previous editions in-lndia and abroad. Some salient features of the new edition are:. The entire text, especially Chapter 5 Random Variables , Chapter 6 Mathematical Expectation , Chapters 7 and 8 Theoretical Discrete and Continuous Distributions , Chapter 10 Correlation and Regression , Chapter 15 Theory of Estimation , has been restructured, rewritten and updated to cater to the revised syllabi of Indian universities, Indian Civil Services and various other competitive examinations.

During the course of rewriting, it has been specially borne in mind to retain all the basic features of the previous editions especially the simplicity of presentation, lucidity of style and analytical approach which have been appreciated by teachers and students all over India and abroad. A number of typical problems have been added as solved examples in each chapter.

These will enable 'the reader to have a better and thoughtful understanding of the basic. Several new topics have been added at appropriate places to make the treatment more comprehensive and complete. Example p. Test p. Theorems and on MLE, p. Theorem pages 70 Optimum Regions and Sufficient Statistics, p.

Exercise sets at the end of each chapter are substantially reorganised. Many new problems are included in the exercise sets. Repetition of questions of the same type more than what is necessary has been avoided. Further in the set of exercises, the problems have been carefully arranged and properly graded.

More difficult problems are put in the miscellaneous exercise at the end of each chapter. Solved examples and unsolved problems in the exercise sets 11Cfve been drav. An attempt has been made to rectify the errors in the previous editions. The present edition Incorporates modern viewpoints. In fact with the addition of new topics, rewriting and revision of many others and restructuring of exercise sets, altogether a new book, covering the revised syllabi of almost all the Indian urilversities, is being presfJnted to the reader.

It Is earnestly hoped that, In -the new form, the book will prove of much greater utility to the students as well as teachers of the subject. The present book is a modest though detarmined bid to meet the requirf3ments of the students of Mathematical Statistics at Degree, Honours and Post-graduate levels.

The book will also be found' of use DY the students preparing for various competitive examinations. While writing this book our goal has been to present a clear, interesting, systematic and thoroughly teachable treatment of Mathematical Stalistics and to provide a textbook which should not only serve as an introduction to the study of Mathematical StatIstics but also carry the student on to 'such a level that he can read' with profit the numercus special monographs which are available on the subject.

The book contains sixteen chapters equally divided between two volumes. Mathematical treatment has been given to. The theory of probability which has been developed by the application of the set theory has been discussed quite in detail. A ,large number of theorems have been deduced using the simple tools of set theory.

The chapters on mathematical expectation and theoretical distributions discrete as well as continuous have been written keeping the'latest ideas in mind. The thirteenth and fourteenth chapters deal mainly with the various sampling distributions and the various tests of significance which can be derived from them.

In chapter 15, we have discussed concisely statistical inference estimation and testing of hypothesis. Abundant material is given in the chapter on finite differences and numerical integration. The whole of the relevant theory is arranged in the form of serialised articles which are concise and to the. The more difficult sections will, in general, ,be found towards the end of each chapter. Due care has been taken of the examination r. While writing this text, we have gone through the syllabi and examination papfJrs O,f almC'st all Inc;lian universities where the subject is taught sQ as to make it as comprehensive as possible.

Each chapte contains a large number of carefully graded worked problems mostly drawn from university papers with a view to acquainting the student with the typical questions pertaining to each topiC. Furthermore, to assist the student to gain proficiency iii the subject, a large number of properly graded problems maif ly drawn from examination papers of various.

The questions and pro. During the preparation of the text we have gone through a vast body of liter9ture available on the subject, a list of which is given at the end of the book. It is expected that the bibliography given at the end of the book ,will considerably help those who want to make a detailed study of the subject The lucidity of style and simplicity of expression have been our twin objects to remove the awe which is usually associated with most mathematical and statistical textbooks.

While every effort has been made to avoid printing and other mistakes, we crave for the indulgence of the readers fot the errors that might have inadvertently crept in. We shall consider our efforts amplY rewarded if those for whom the book is intended are benefited by it. Suggestions for the improvement of the book will be hIghly appreciated and will be duly incorporated.

Chapter 2 Frequency Distributions and Measures of central Tendency 2'1 21'1 2'2'2 2'3. Chapter 5 Random Variables and Distribution -Functions 5 -1 Chapter-6 Mathematical Expectation and Generating Functions 6'10 '1 6'10'2 61 4 6' 6'17 '1 I. Theoretical Continuous Distributions 8 -1 8 -2 -1 Line 9'1 9'1'2 Fitting of a Second Degree Parabola. Chapter Statistical Inference - I Theory of Estimation 15'1 15'2 15'3 15'4 15'4'1 15'4'2 15'5 '1 15'6 15'7'1 15'9 15'10 15'11 15'12 15'13 15'14 15'15 15'15'1.

Function 16'9'2 of S. T , 16'9'3 Average Sample Number A. Fundamentals of Mathematical Statistics s. Difficult mathematical deductions have been treated logically and in a very simple manner. It conforms to the latest syllabi of the Degree and post ,graduate examinations in Mathematics, Statistics and Economics.

Fundamentals of Applied 'Statistics s. The book provides comprehensive and exhaustive theoretical discussion. All basic concepts have been explained in an easy and understandable manner.

It conforms to the latest syllabi of B. Demand Analysis. Price and Income Elasticity. Analysis 01 Variance Design 01 Experiments. Latin Square Design. Factorial Designs and Conlouncflllg. Slrdlifoed Sampling. Syslematlc 5ampting. This well-organised and profusely illustrated book presents updated account of the Operations Research Techniques. Special Features It is lucid and practical in approach. Wide variety of carefully selected.

Useful sets of problems as exercises are given. The book completely covers the syllabi of M. Integer and Dynamic Programming. Problems and Solutions in Operations Research V. Edition Salient Features. The book fully meets the course requirements of management and commerce students. It would also be extremely useful for students ot:professional courses like ICA. Working rules. Ideal book for the students involved in independent study. New Oelhi Phones: Introduction - Meaning and Scope Origin and Development of Statistics', Statistics, in a sense, is as old as the human society itself.

Its origin can be traced to the old days when it 'was regarded as the 'science of State-craft' and,was the by-product of the administrative activity of the State. The word 'Statistics' seems to have been'derived from the Latin word' status' or the Italian word' statista' orthe German word' statistik' each of which means a 'political state'.

In ancient times, the government used to collect. In India, an efficient system of collecting official and administrative statistics existed even more than 2, years ago, in particular, during the reign of Chandra Gupta Maurya B.

From Kautilya's Arthshastra it is known that even before B. During Akbar's reign - A. In Aina,e-Akbari written by Abul Fazl in - 97 , one of the nine gems of Akbar, we find detailed accounts of the administrative and statistical surveys conducted during Akbar's reign. In England, statistics were the outcome of Napoleonic Wars. Seventeenth century saw the. Computauon of mortality tables and the calculation of expectation of life at different ages by a number of persons, viz. Price, to mention only a few, led to the idea of 'life insurance' and the first life insurance institution was founded in London in The French mathematician Pascal - , after lengthy correspondence with another French mathematician.

Fermat - solved the famous 'Problem of Points' posed by the gambler Chevalier de - Mere. His study of the problem laid the foundation of the theory of probability which is the backbone of the modern theory of statistics.

Free Download Fundamentals Of Mathematical Statistics By Sc Gupta And Vk Kapoor

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Probability and Queuing Theory detailed syllabus scheme for B. The detailed syllabus scheme for probability and queuing theory is as follows. Your email address will not be published. View All Post.

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