000			03026nam a22002177a 4500
999			_c4458 _d4458
005			20230113101241.0
008			230113b ||||| |||| 00| 0 eng d
020			_a9780367749125
082			_a519.54 _bMAV
100			_aMavrakakis, Miltiadis C. _910451
245			_aProbability and statistical inference: _bfrom basic principles to advanced models
260			_bCRC Press _aBoco Raton _c2021
300			_axix, 423 p.
365			_aGBP _b42.99
504			_aTable of Contents 1. Introduction 2. Probability 3. Random Variables and Univariate Distributions 4. Multivariate Distributions 5. Conditional Distributions 6. Statistical Models 7. Sample Moments and Quantiles 8. Estimation, Testing, and Prediction 9. Likelihood-based Inference 10. Inferential Theory 11. Bayesian Inference 12. Simulation Methods
520			_aProbability and Statistical Inference: From Basic Principles to Advanced Models covers aspects of probability, distribution theory, and inference that are fundamental to a proper understanding of data analysis and statistical modelling. It presents these topics in an accessible manner without sacrificing mathematical rigour, bridging the gap between the many excellent introductory books and the more advanced, graduate-level texts. The book introduces and explores techniques that are relevant to modern practitioners, while being respectful to the history of statistical inference. It seeks to provide a thorough grounding in both the theory and application of statistics, with even the more abstract parts placed in the context of a practical setting. Features: •Complete introduction to mathematical probability, random variables, and distribution theory. •Concise but broad account of statistical modelling, covering topics such as generalised linear models, survival analysis, time series, and random processes. •Extensive discussion of the key concepts in classical statistics (point estimation, interval estimation, hypothesis testing) and the main techniques in likelihood-based inference. •Detailed introduction to Bayesian statistics and associated topics. •Practical illustration of some of the main computational methods used in modern statistical inference (simulation, boostrap, MCMC). This book is for students who have already completed a first course in probability and statistics, and now wish to deepen and broaden their understanding of the subject. It can serve as a foundation for advanced undergraduate or postgraduate courses. Our aim is to challenge and excite the more mathematically able students, while providing explanations of statistical concepts that are more detailed and approachable than those in advanced texts. This book is also useful for data scientists, researchers, and other applied practitioners who want to understand the theory behind the statistical methods used in their fields.
650			_aProbabilities _91139
650			_aMathematical statistics _9837
700			_aPenzer, Jeremy _911319
942			_2ddc _cBK