it emphasizes on J. Neyman and Egon Pearson's mathematical foundations of hypothesis testing, which is one of the finest methodologies of reaching conclusions on population parameter. Following Wald and Ferguson's approach, the book presents Neyman-Pearson theory under broader premises of decision theory resulting into simplification and generalization of results. On account of smooth mathematical development of this theory, the book outlines the main result on Lebesgue theory in abstract spaces prior to rigorous theoretical developments on most powerful (MP), uniformly most powerful (UMP) and UMP unbiased tests for different types of testing problems. Likelihood ratio tests their large sample properties to variety of testing situations and connection between confidence estimation and testing of hypothesis have been discussed in separate chapters. The book illustrates simplification of testing problems and reduction in dimensionality of class of tests resulting into existence of an optimal test through the principle of sufficiency and invariance. It concludes with rigorous theoretical developments on non-parametric tests including their optimality, asymptotic relative efficiency, consistency, and asymptotic null distribution.
This book is sequel to a book Statistical Inference: Testing of Hypotheses (published by PHI Learning). Intended for the postgraduate students of statistics, it introduces the problem of estimation in the light of foundations laid down by Sir R.A. Fisher (1922) and follows both classical and Bayesian approaches to solve these problems. The book starts with discussing the growing levels of data summarization to reach maximal summarization and connects it with sufficient and minimal sufficient statistics. The book gives a complete account of theorems and results on uniformly minimum variance unbiased estimators (UMVUE)—including famous Rao and Blackwell theorem to suggest an improved estimator based on a sufficient statistic and Lehmann-Scheffe theorem to give an UMVUE. It discusses Cramer-Rao and Bhattacharyya variance lower bounds for regular models, by introducing Fishers information and Chapman, Robbins and Kiefer variance lower bounds for Pitman models. Besides, the book introduces different methods of estimation including famous method of maximum likelihood and discusses large sample properties such as consistency, consistent asymptotic normality (CAN) and best asymptotic normality (BAN) of different estimators. Separate chapters are devoted for finding Pitman estimator, among equivariant estimators, for location and scale models, by exploiting symmetry structure, present in the model, and Bayes, Empirical Bayes, Hierarchical Bayes estimators in different statistical models. Systematic exposition of the theory and results in different statistical situations and models, is one of the several attractions of the presentation. Each chapter is concluded with several solved examples, in a number of statistical models, augmented with exposition of theorems and results. KEY FEATURES • Provides clarifications for a number of steps in the proof of theorems and related results., • Includes numerous solved examples to improve analytical insight on the subject by illustrating the application of theorems and results. • Incorporates Chapter-end exercises to review student’s comprehension of the subject. • Discusses detailed theory on data summarization, unbiased estimation with large sample properties, Bayes and Minimax estimation, separately, in different chapters.
This book explores how religion manifests itself in television. It focuses on how religious traditions, practices, and discourses have been incorporated into non-religious television programmes and how they bring both the community and the media into the fold of religion. The volume traces the cultural and institutional history of television in the state of Sikkim, India, to investigate how it became part of the cultural life of the communities. The author analyses three televised shows that captured the community's imagination and became ceremonial and religious engagement. Through these case studies, he highlights how rituals and myths function in mass media, how traditional institutions and religious practices redefine themselves through their association with the visual mass medium, and how identities based on religion, cultural tradition, and politics are reinforced, transformed, and amplified through television. The book further analyses the engagement of televised religion with audiences, its reach, relevance, and contents and its relationship with urbanity, tradition, and identity. This volume will be of interest to students and researchers of media and communication studies, cultural studies, religious studies, sociology, cultural anthropology, and history.
Why does Indian Cinema look different, sound different and is so lengthy? Why are the dialogues so long winding? Why are our costumes so gaudy and garish? Why do we have so many songs in our films? Why do our actors burst into songs and dances for no reason? Are we a society that is exactly like our Cinema? Why are films directed by Saytyajit Ray great and not so great by some other Directors. Have you ever called your spouse ‘Sajni or Sajna’ or ‘Saiyan’ or ‘Balam’ ? Perhaps no, then why does our Cinema use these words? Why does Hindi language Cinema use words or the language that no one uses in real life? Why is it that a Cinema that is almost part of life for millions of Indians and now even foreigners has been dubbed mindless and silly? How many language Cinemas does Indian Cinema comprise of ? Do people who dismiss Indian Cinema as ‘Bollywood’ even understand that 30% of our feature films at least belong to the globally termed ‘art-house cinema class’. Find all answers in the book.
In this book the author has explained the principles of bio-mathematics from elementary level to modern research areas related to Mathematical modelling of Non- Newtonian Fluid flow in arteries, veins, venules, arterioles.
Poor people confront the state on an everyday basis all over the world. But how do they see the state, and how are these engagements conducted? This book considers the Indian case where people's accounts, in particular in the countryside, are shaped by a series of encounters that are staged at the local level, and which are also informed by ideas that are circulated by the government and the broader development community. Drawing extensively on fieldwork conducted in eastern India and their broad range of expertise, the authors review a series of key debates in development studies on participation, good governance, and the structuring of political society. They do so with particular reference to the Employment Assurance Scheme and primary education provision. Seeing the State engages with the work of James Scott, James Ferguson and Partha Chatterjee, and offers a new interpretation of the formation of citizenship in South Asia.
The Volume Brings Together Contributions From Different Branches Of Anthropology - Divided Into 3 Parts. Part I - Archaeological Anthropological - 15 Papers. Part Ii - Physical Anthropology - 14 Papers. Part Iii - Social Anthropology - Figures - Annexures - Illustrations - Maps.
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