{"product_id":"mathematical-methods-of-statistics-9780691005478","title":"Mathematical Methods of Statistics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eHarald Cramér’s classic synthesis of statistical mathematical theory—an invaluable resource for students and practitioners alike\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eIn the 1930s, as British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. In this incisive and authoritative book, Harald Cramér unites these two major lines of development, providing a masterly exposition of the mathematical methods of modern statistics that set the standard in the field still followed today.\u003cbr\u003e\u003cbr\u003eRequiring only a working knowledge of undergraduate mathematics, this self-contained book begins with an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. It goes on to discuss the general theory of random variables and probability distributions, the theory of sampling, statistical estimation, and tes\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePt. 1Mathematical IntroductionSets of Points3Theory of Measure and Integration in R[subscript 1]19Theory of Measure and Integration in R[subscript n]76Various Questions89Pt. 2Random Variables and Probability DistributionsFoundations137Variables and Distributions in R[subscript 1]166Variables and Distributions in R[subscript n]260Pt. 3Statistical InferenceGeneralities323Sampling Distributions341Tests of Significance, I416Theory of Estimation473Tests of Significance, II525Table 1The Normal Distribution557Table 2The Normal Distribution557Table 3The x[superscript 2]-Distribution559Table 4The t-Distribution560List of References561Index571\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865513636183,"sku":"9780691005478","price":100.3,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691005478.jpg?v=1722274332","url":"https:\/\/bookcurl.com\/products\/mathematical-methods-of-statistics-9780691005478","provider":"Book Curl","version":"1.0","type":"link"}