توزیع‌های نرمال و t استیودنت و کاربردهای آن‌ها

The Most Important Properties Of Normal And Student T-distributions Are Presented. A Number Of Applications Of These Properties Are Demonstrated. New Related Results Dealing With The Distributions Of The Sum, Product And Ratio Of The Independent Normal And Student Distributions Are Presented. The Materials Will Be Useful To The Advanced Undergraduate And Graduate Students And Practitioners In The Various Fields Of Science And Engineering. Introduction -- Normal Distributions -- Student’s Distributions -- Sum, Product & Ratio For The Normal Random Variables -- Sum, Product & Ratio For The Student’s Random Variables -- Sum, Product & Ratio For The Normal And Student’s Random Variables -- Product Of The Normal And Student’s Densities -- Characterizations Of Normal Distributions -- Characterizations Of Student’s distributions -- Concluding Remarks. By Mohammad Ahsanullah, B.m. Golam Kibria, Mohammad Shakil. Front Matter....Pages i-xii Introduction....Pages 1-6 Normal Distribution....Pages 7-50 Student’s $$t$$ t Distribution....Pages 51-62 Sum, Product and Ratio for the Normal Random Variables....Pages 63-79 Sum, Product and Ratio for the Student’s $$t$$ t Random Variables....Pages 81-91 Sum, Product and Ratio for the Normal and Student’s t Random Variables....Pages 93-101 Product of the Normal and Student’s $$t$$ t Densities....Pages 103-111 Characterizations of Normal Distribution....Pages 113-127 Characterizations of Student’s t Distribution....Pages 129-141 Concluding Remarks and Some Future Research....Pages 143-144 Back Matter....Pages 145-157 The most important properties of normal and student t-distributions are presented in this book. A number of applications of these properties are demonstrated