Author: Barbara Illowsky
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2106
Book Description
Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.
Introductory Statistics 2e
Author: Barbara Illowsky
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2106
Book Description
Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2106
Book Description
Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.
Sums of Independent Random Variables
Author: V.V. Petrov
Publisher: Springer Science & Business Media
ISBN: 3642658091
Category : Mathematics
Languages : en
Pages : 360
Book Description
The classic "Limit Dislribntions fOT slt1ns of Independent Ramdorn Vari ables" by B.V. Gnedenko and A.N. Kolmogorov was published in 1949. Since then the theory of summation of independent variables has devel oped rapidly. Today a summing-up of the studies in this area, and their results, would require many volumes. The monograph by I.A. Ibragi mov and Yu. V. I~innik, "Independent and Stationarily Connected VaTiables", which appeared in 1965, contains an exposition of the contem porary state of the theory of the summation of independent identically distributed random variables. The present book borders on that of Ibragimov and Linnik, sharing only a few common areas. Its main focus is on sums of independent but not necessarily identically distri buted random variables. It nevertheless includes a number of the most recent results relating to sums of independent and identically distributed variables. Together with limit theorems, it presents many probahilistic inequalities for sums of an arbitrary number of independent variables. The last two chapters deal with the laws of large numbers and the law of the iterated logarithm. These questions were not treated in Ibragimov and Linnik; Gnedenko and KolmogoTOv deals only with theorems on the weak law of large numbers. Thus this book may be taken as complementary to the book by Ibragimov and Linnik. I do not, however, assume that the reader is familiar with the latter, nor with the monograph by Gnedenko and Kolmogorov, which has long since become a bibliographical rarity
Publisher: Springer Science & Business Media
ISBN: 3642658091
Category : Mathematics
Languages : en
Pages : 360
Book Description
The classic "Limit Dislribntions fOT slt1ns of Independent Ramdorn Vari ables" by B.V. Gnedenko and A.N. Kolmogorov was published in 1949. Since then the theory of summation of independent variables has devel oped rapidly. Today a summing-up of the studies in this area, and their results, would require many volumes. The monograph by I.A. Ibragi mov and Yu. V. I~innik, "Independent and Stationarily Connected VaTiables", which appeared in 1965, contains an exposition of the contem porary state of the theory of the summation of independent identically distributed random variables. The present book borders on that of Ibragimov and Linnik, sharing only a few common areas. Its main focus is on sums of independent but not necessarily identically distri buted random variables. It nevertheless includes a number of the most recent results relating to sums of independent and identically distributed variables. Together with limit theorems, it presents many probahilistic inequalities for sums of an arbitrary number of independent variables. The last two chapters deal with the laws of large numbers and the law of the iterated logarithm. These questions were not treated in Ibragimov and Linnik; Gnedenko and KolmogoTOv deals only with theorems on the weak law of large numbers. Thus this book may be taken as complementary to the book by Ibragimov and Linnik. I do not, however, assume that the reader is familiar with the latter, nor with the monograph by Gnedenko and Kolmogorov, which has long since become a bibliographical rarity
Limit Theorems of Probability Theory
Author: Yu.V. Prokhorov
Publisher: Springer Science & Business Media
ISBN: 3662041723
Category : Mathematics
Languages : en
Pages : 280
Book Description
A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.
Publisher: Springer Science & Business Media
ISBN: 3662041723
Category : Mathematics
Languages : en
Pages : 280
Book Description
A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.
Limit Theorems for Sums of Exchangeable Random Variables
Author: Robert Lee Taylor
Publisher: Rowman & Littlefield Publishers
ISBN:
Category : Mathematics
Languages : en
Pages : 168
Book Description
To find more information about Rowman and Littlefield titles, please visit www.rowmanlittlefield.com.
Publisher: Rowman & Littlefield Publishers
ISBN:
Category : Mathematics
Languages : en
Pages : 168
Book Description
To find more information about Rowman and Littlefield titles, please visit www.rowmanlittlefield.com.
Modern Theory of Summation of Random Variables
Author: Vladimir M. Zolotarev
Publisher: Walter de Gruyter
ISBN: 3110936534
Category : Mathematics
Languages : en
Pages : 429
Book Description
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
Publisher: Walter de Gruyter
ISBN: 3110936534
Category : Mathematics
Languages : en
Pages : 429
Book Description
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
On the Central Limit Theorem for the Sum of a Random Number of Independent Random Variables
Author: J. R. Blum
Publisher:
ISBN:
Category : Asymptotic distribution (Probability theory)
Languages : en
Pages : 10
Book Description
Publisher:
ISBN:
Category : Asymptotic distribution (Probability theory)
Languages : en
Pages : 10
Book Description
Probability, Finance and Insurance
Author: T. L. Lai
Publisher: World Scientific
ISBN: 9812702717
Category : Business & Economics
Languages : en
Pages : 253
Book Description
This workshop was the first of its kind in bringing together researchers in probability theory, stochastic processes, insurance and finance from mainland China, Taiwan, Hong Kong, Singapore, Australia and the United States. In particular, as China has joined the WTO, there is a growing demand for expertise in actuarial sciences and quantitative finance. The strong probability research and graduate education programs in many of China's universities can be enriched by their outreach in fields that are of growing importance to the country's expanding economy, and the workshop and its proceedings can be regarded as the first step in this direction. This book presents the most recent developments in probability, finance and actuarial sciences, especially in Chinese probability research. It focuses on the integration of probability theory with applications in finance and insurance. It also brings together academic researchers and those in industry and government. With contributions by leading authorities on probability theory OCo particularly limit theory and large derivations, valuation of credit derivatives, portfolio selection, dynamic protection and ruin theory OCo it is an essential source of ideas and information for graduate students and researchers in probability theory, mathematical finance and actuarial sciences, and thus every university should acquire a copy. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo Index to Social Sciences & Humanities Proceedings- (ISSHP- / ISI Proceedings). OCo Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences. Contents: Limit Theorems for Moving Averages (T L Lai); On Large Deviations for Moving Average Processes (L Wu); Recent Progress on Self-Normalized Limit Theorems (Q-M Shao); Limit Theorems for Independent Self-Normalized Sums (B-Y Jing); Phase Changes in Random Recursive Structures and Algorithms (H-K Hwang); JohnsonOCoMehl Tessellations: Asymptotics and Inferences (S N Chiu); Rapid Simulation of Correlated Defaults and the Valuation of Basket Default Swaps (Z Zhang et al.); Dynamic Protection with Optimal Withdrawal (H U Gerber & E S W Shiu); Ruin Probability for a Model Under Markovian Switching Regime (H Yang & G Yin); and other papers. Readership: Researchers and graduate students in probability and statistics."
Publisher: World Scientific
ISBN: 9812702717
Category : Business & Economics
Languages : en
Pages : 253
Book Description
This workshop was the first of its kind in bringing together researchers in probability theory, stochastic processes, insurance and finance from mainland China, Taiwan, Hong Kong, Singapore, Australia and the United States. In particular, as China has joined the WTO, there is a growing demand for expertise in actuarial sciences and quantitative finance. The strong probability research and graduate education programs in many of China's universities can be enriched by their outreach in fields that are of growing importance to the country's expanding economy, and the workshop and its proceedings can be regarded as the first step in this direction. This book presents the most recent developments in probability, finance and actuarial sciences, especially in Chinese probability research. It focuses on the integration of probability theory with applications in finance and insurance. It also brings together academic researchers and those in industry and government. With contributions by leading authorities on probability theory OCo particularly limit theory and large derivations, valuation of credit derivatives, portfolio selection, dynamic protection and ruin theory OCo it is an essential source of ideas and information for graduate students and researchers in probability theory, mathematical finance and actuarial sciences, and thus every university should acquire a copy. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo Index to Social Sciences & Humanities Proceedings- (ISSHP- / ISI Proceedings). OCo Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences. Contents: Limit Theorems for Moving Averages (T L Lai); On Large Deviations for Moving Average Processes (L Wu); Recent Progress on Self-Normalized Limit Theorems (Q-M Shao); Limit Theorems for Independent Self-Normalized Sums (B-Y Jing); Phase Changes in Random Recursive Structures and Algorithms (H-K Hwang); JohnsonOCoMehl Tessellations: Asymptotics and Inferences (S N Chiu); Rapid Simulation of Correlated Defaults and the Valuation of Basket Default Swaps (Z Zhang et al.); Dynamic Protection with Optimal Withdrawal (H U Gerber & E S W Shiu); Ruin Probability for a Model Under Markovian Switching Regime (H Yang & G Yin); and other papers. Readership: Researchers and graduate students in probability and statistics."
Limit Distributions for Sums of Independent Random Variables
Author: B V (Boris Vladimirovich) Gnedenko
Publisher: Hassell Street Press
ISBN: 9781014649485
Category :
Languages : en
Pages : 284
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Publisher: Hassell Street Press
ISBN: 9781014649485
Category :
Languages : en
Pages : 284
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Random Summation
Author: Boris V. Gnedenko
Publisher: CRC Press
ISBN: 9780849328756
Category : Mathematics
Languages : en
Pages : 282
Book Description
This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of its applications to solving practical problems in hardware and software reliability, insurance, finance, and more. The authors show how practice interacts with theory, and how new mathematical formulations of problems appear and develop. Attention is mainly focused on transfer theorems, description of the classes of limit laws, and criteria for convergence of distributions of sums for a random number of random variables. Theoretical background is given for the choice of approximations for the distribution of stock prices or surplus processes. General mathematical theory of reliability growth of modified systems, including software, is presented. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems and Applications will be of use to specialists and students in probability theory, mathematical statistics, and stochastic processes, as well as to financial mathematicians, actuaries, and to engineers desiring to improve probability models for solving practical problems and for finding new approaches to the construction of mathematical models.
Publisher: CRC Press
ISBN: 9780849328756
Category : Mathematics
Languages : en
Pages : 282
Book Description
This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of its applications to solving practical problems in hardware and software reliability, insurance, finance, and more. The authors show how practice interacts with theory, and how new mathematical formulations of problems appear and develop. Attention is mainly focused on transfer theorems, description of the classes of limit laws, and criteria for convergence of distributions of sums for a random number of random variables. Theoretical background is given for the choice of approximations for the distribution of stock prices or surplus processes. General mathematical theory of reliability growth of modified systems, including software, is presented. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems and Applications will be of use to specialists and students in probability theory, mathematical statistics, and stochastic processes, as well as to financial mathematicians, actuaries, and to engineers desiring to improve probability models for solving practical problems and for finding new approaches to the construction of mathematical models.
A History of the Central Limit Theorem
Author: Hans Fischer
Publisher: Springer Science & Business Media
ISBN: 0387878572
Category : Mathematics
Languages : en
Pages : 415
Book Description
This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.
Publisher: Springer Science & Business Media
ISBN: 0387878572
Category : Mathematics
Languages : en
Pages : 415
Book Description
This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.