Probability and Probability Distributions I & II: Course Outline Probability and Probability Distributions I
The course covers the transformation techniques which are useful for determining the sampling distribution of statistic.
Course Outline
- General Concept of Probability.
- Random Experiment.
- Sample Space and sample points.
- Event; Types of Event.
- Mutually Exclusive.
- Equally likely.
- Exhaustive.
- Compliment.
- Dependent and Independent.
- Rules for Counting the Sample Points.
- Multiplicative rule.
- Permutation and Combination.
- Definition of Probability.
- Axioms of Probability.
- Probability as a set function.
- Addition Theorem of Probability (ATP).
- Conditional Probability.
- Multiplicative Theorem of Probability (MTP). Bayes’ Theorem (BT).
- Proofs and application of ATP, MTP and BT.
- Random Variable (RV).
- Probability Distribution and Probability Density Function.
- Mean or Expected value and variance of RV.
- Distribution function.
- Joint distribution.
- Marginal and conditional distributions.
- Stochastic independence.
- Conditional expectation.
- Probability generating function.
- Moment generating function.
- Characteristics function and their existence properties.
- Relation between moments and cumulate.
- Probability Distributions.
- Binomial.
- Poisson.
- Hypergeometric.
- Multinomial.
- Negative Binomial.
- Geometric.
- Uniform.
- Normal.
- Exponential.
- Beta and Gamma distributions with their properties and application.
- Bivariate Normal distribution.
Text Book
-
by Hogg, Robert V. | Joeseph McKean | Allen T. Craig
Edition statement:7th ed.
Published by : Dorling Kindersley Pvt. Ltd (New Delhi)
ISBN: 9789332519114
Reference Books
-
Roussas, George
Published by : Elsevier Academic Press (USA)
Physical details: xii, 387 p. : ill. ; 24 cm.
ISBN: 0120885956 (pbk). -
by Ross, Sheldon
Edition statement:9th ed.
Published by : Pearson Education (New Delhi)
ISBN: 9789332519077 -
by Mood, Alexander M. | Franklin A. Graybill | Duane C. BOES
Edition statement:3rd ed.
Published by : McGraw Hill (New Delhi)
ISBN: 0070445206
Search the Library Catalog
Welcome to the Online Public Access Catalog (OPAC). This catalog provides you bibliographic information of print books available in all campus libraries of the University and provides you the facility of 2 types of searches; basic search and advance search to find the exact book or list of books you required.
Important Features for Patrons
- Easy access to information due to effective searching.
- Alert messages for patron i.e. overdue items or arrival of new items.
- Patron can suggest books for purchase through this system.
- Patrons can check his circulation history and hold on desired books.
- OPAC brings together library users and staff, as both can see various aspects of the system.
Search Your Required Book
E-books
-
by Pleguezuelo, Rafael Herrerías
Publisher: World Scientific
ISBN: 9789812772992 -
by Kaur, Berinderjeet
Publisher: World Scientific
ISBN: 9789814313353 -
Fienberg, S. Casella, G.
Olkin, I.
Publisher: Springer -
by Dobrow, Robert P
Publisher: John Wiley & Sons -
by Khrennikov, Andrei
Publisher: Walter de Gruyter
ISBN 9783110207484 -
by Pleguezuelo, Rafael HerrerÃas
Publisher: WSPC
ISBN: 9789812772992 -
by Barbour, A. D. Chen, Louis
Chen, Louis H. Y
Publisher: World Scientific
ISBN: 9789812567673