Statistical Inference Volume I

We are thrilled to present “Statistical Inference Volume I,” a collaborative labor of love from three passionate educators: Dr. Anjali Upadhye, Dr. Sujata Kulkarni, and myself. As born teachers, we find joy in sharing our knowledge and insights with the academic community. This work serves as a foundational exploration into key concepts that form the bedrock of statistical theory

Our Shared Journey: This book is not just a compilation of theorems and solutions; it’s a reflection of our collective journey through the captivating landscape of statistical inference. With a combined experience of decades in teaching, our goal is to make the learning experience engaging and rewarding for every student. This volume delves into crucial topics, including Point Estimation, Types of Estimation, Unbiasedness, Relative Efficiency, Consistent Estimators, Likelihood Function, Sufficiency, and Cramer-Rao Inequality. Each chapter is crafted to provide a clear and comprehensive understanding of these fundamental aspects.

Guiding UG and PG Explorers: Whether you are an eager undergraduate (UG) student stepping into the world of statistics or a postgraduate (PG) explorer seeking deeper insights, this volume is crafted to be a guide. We’ve carefully woven together theorems, solutions, and solved problems to create a tapestry that speaks to the diverse needs of students at different academic levels.

From Classroom to Bookshelf: Our classrooms have been the breeding grounds for these concepts. Through this book, we aim to extend the classroom experience, providing a resource that transcends the limitations of time and space.

Passion in Print: This book is a testament to our passion for teaching. The theorems aren’t just academic principles; they are stories waiting to be told, and the solved problems are the practical applications that bring these stories to life.

Looking Ahead: Volume II: As you delve into the world of Volume I, we are already immersed in the creation of Volume II. Our journey continues, and we are excited to share the next chapter, delving into advanced concepts and real-world applications as said by M.J. Moroney as “A statistical analysis, properly conducted, is a delicate dissection of uncertainties, a surgery of suppositions”.