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INTRODUCTION TO THEORY OF STATISTICS
₹499.00
This book, Introduction to Theory of Statistics, provides a foundational and advanced
exploration of the core principles that govern statistical analysis. Beginning with Chapter
1: Theory of Probability, the text introduces the fundamental concepts of chance,
randomness, and the axiomatic foundations of probability that serve as the bedrock of
statistical reasoning. Chapter 2 delves into Random Variables and Distribution Functions,
emphasizing both discrete and continuous variables and the rules governing their
distributions. Chapter 3 builds on this by exploring Expectations and Moments, offering
insight into key statistical measures such as the mean, variance, skewness, and kurtosis,
which describe the central tendency and shape of data distributions. Moving forward,
Chapter 4 focuses on Distribution Functions, presenting detailed studies of probability
distributions and their real-world applications. Chapter 5 addresses Continuous
Distributions, introducing vital continuous probability models such as the normal,
exponential, and gamma distributions, which are instrumental in various fields of
research and industry. The comprehensive nature of the text is further exemplified in
Chapter 6, which covers Joint and Conditional Distributions, Stochastic Independence,
and Advanced Expectations, facilitating a deeper understanding of how random variables
interact and influence one another. Finally, Chapter 7 discusses Sampling Methods,
Sample Mean, and Population Estimation, where the theory meets practical application. It
examines different sampling techniques, the importance of sample statistics, and how
these are used to estimate and infer characteristics of larger populations. This chapter
bridges theoretical statistics and empirical analysis, highlighting estimation procedures
and the significance of inferential statistics in research and decision-making. Overall, the
book is structured to build statistical literacy progressively, supporting learners in
developing both conceptual clarity and applied skills necessary for advanced study and
real-world data analysis.
INTRODUCTION TO THEORY OF STATISTICS
₹499.00
This book, Introduction to Theory of Statistics, provides a foundational and advanced
exploration of the core principles that govern statistical analysis. Beginning with Chapter
1: Theory of Probability, the text introduces the fundamental concepts of chance,
randomness, and the axiomatic foundations of probability that serve as the bedrock of
statistical reasoning. Chapter 2 delves into Random Variables and Distribution Functions,
emphasizing both discrete and continuous variables and the rules governing their
distributions. Chapter 3 builds on this by exploring Expectations and Moments, offering
insight into key statistical measures such as the mean, variance, skewness, and kurtosis,
which describe the central tendency and shape of data distributions. Moving forward,
Chapter 4 focuses on Distribution Functions, presenting detailed studies of probability
distributions and their real-world applications. Chapter 5 addresses Continuous
Distributions, introducing vital continuous probability models such as the normal,
exponential, and gamma distributions, which are instrumental in various fields of
research and industry. The comprehensive nature of the text is further exemplified in
Chapter 6, which covers Joint and Conditional Distributions, Stochastic Independence,
and Advanced Expectations, facilitating a deeper understanding of how random variables
interact and influence one another. Finally, Chapter 7 discusses Sampling Methods,
Sample Mean, and Population Estimation, where the theory meets practical application. It
examines different sampling techniques, the importance of sample statistics, and how
these are used to estimate and infer characteristics of larger populations. This chapter
bridges theoretical statistics and empirical analysis, highlighting estimation procedures
and the significance of inferential statistics in research and decision-making. Overall, the
book is structured to build statistical literacy progressively, supporting learners in
developing both conceptual clarity and applied skills necessary for advanced study and
real-world data analysis.
