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Advanced Statistical Inference: 500+ Solved Numericals for Competitive Exams

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Advanced Statistical Inference: 500+ Solved Numericals for Competitive Exams is a comprehensive guide designed for students and aspirants who want to build a strong foundation in probability, statistical inference, and mathematical statistics.

This book provides a structured pathway from fundamental probability concepts to advanced inference techniques, helping readers develop strong conceptual clarity and analytical problem-solving skills. Each chapter begins with essential definitions, key formulas, and important theoretical results, followed by a large collection of step-by-step solved numerical problems that demonstrate the practical application of statistical concepts.

The material is carefully structured for preparation of major competitive examinations such as GATE, IIT-JAM, ISI, CSIR-NET, UPSC, and university entrance exams. Each chapter contains approximately 30–40 fully explained questions, along with practice sets that include hints and logical guidance to help students strengthen their independent problem-solving abilities.

The book covers a wide range of topics including probability foundations, random variables, probability distributions, expectation and moments, joint distributions, sampling distributions, point and interval estimation, hypothesis testing, likelihood ratio tests, Bayesian inference, statistical decision theory, sequential analysis, nonparametric inference, and robust statistical methods.

Designed for serious learners of mathematical statistics, this book not only prepares readers for competitive examinations but also helps develop a deeper understanding of the logic and structure of statistical inference.

Master the Concepts. Build the Logic. Crack the Exam.

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