Titlebook: Introduction to Probability, Statistics & R; Foundations for Data Sujit K. Sahu Textbook 2024 The Editor(s) (if applicable) and The Author(

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Evacuate

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Interval Estimationor the mean parameters of binomial, Poisson and normal distributions. For the normal distribution we also discuss the exact confidence interval using the t-distribution without actually deriving the sampling distribution of the t-statistic.

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Hypothesis Testingion, types of errors while testing statistical hypothesis, power function, sensitivity and specificity are provided. These are illustrated with the t-test for testing hypothesis regarding the mean of one ir two normal distributions. This chapter ends with a discussion on designs of experiments for e

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Generating Functionsrating function and probability generating function for discrete random variables. The uniqueness theorem for the moment generating function is also stated here to facilitate many proofs in statistical distribution theory.

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tise and use the theory.Request lecturer material: A strong grasp of elementary statistics and probability, along with basic skills in using R, is essential for various scientific disciplines reliant on data analysis. This book serves as a gateway to learning statistical methods from scratch, assumi

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Introduction to Basic Statisticstivating data sets which are used as running examples throughout the book. An accessible discussion is also provided to debate issues like: “Lies, damned lies and statistics” and “Figures don’t lie but liars can figure.”