Mathematical Methods of Statistics (PMS-9), Volume 9 /

Mathematical Methods of Statistics (PMS-9), Volume 9 / / Harald Cramér.

In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
VerfasserIn:
Cramér, Harald,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1946
Year of Publication:2016
Language:English
Series:Princeton Mathematical Series ; 26
Online Access:
Physical Description:1 online resource (575 p.)
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100 1 |a Cramér, Harald,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Mathematical Methods of Statistics (PMS-9), Volume 9 /  |c Harald Cramér. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1946 
300 |a 1 online resource (575 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 0 |a Princeton Mathematical Series ;  |v 26 
505 0 0 |t Frontmatter --   |t Preface --   |t Table of Contents --   |t First Part. Mathematical Introduction --   |t Chapters 1-3. Sets of Points --   |t Chapters 4-7. Theory of Measure and Integration in R1. --   |t Chapters 8-9. Theory of Measure and integration in Rn --   |t Chapters 10-12. Various Questions --   |t Second Part. Random Variables and Probability Distributions --   |t Chapters 13-14. Foundations --   |t Chapters 15-20. Variables and distributions in R1 --   |t Third Part. Statistical Interference --   |t Chapters 25-26. Generalities --   |t Chapters 27-29. Sampling Distributions --   |t Chapters 30-31. Test of Significance, I. --   |t Chapters 32-34. Theory of Estimation --   |t Chapters 35-37. Test of Significance, II. --   |t Tables 1-2. The Normal Distribution --   |t Table 3. The χ2 -Distribution --   |t Table 4. The t-Distribution --   |t List of References --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while 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. The result of Cramér's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow. For anyone with a working knowledge of undergraduate mathematics the book is self contained. The first part is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling, statistical estimation, and tests of significance. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Mathematical statistics. 
650 7 |a MATHEMATICS / Probability & Statistics / General.  |2 bisacsh 
653 |a A priori probability. 
653 |a Addition theorem. 
653 |a Additive function. 
653 |a Analysis of covariance. 
653 |a Arithmetic mean. 
653 |a Axiom. 
653 |a Bayes' theorem. 
653 |a Bias of an estimator. 
653 |a Binomial distribution. 
653 |a Binomial theorem. 
653 |a Bolzano-Weierstrass theorem. 
653 |a Borel set. 
653 |a Bounded set (topological vector space). 
653 |a Calculation. 
653 |a Cartesian product. 
653 |a Central moment. 
653 |a Characteristic function (probability theory). 
653 |a Characteristic polynomial. 
653 |a Coefficient. 
653 |a Commutative property. 
653 |a Confidence interval. 
653 |a Convergence of random variables. 
653 |a Correlation coefficient. 
653 |a Degeneracy (mathematics). 
653 |a Degrees of freedom (statistics). 
653 |a Diagram (category theory). 
653 |a Dimension. 
653 |a Distribution (mathematics). 
653 |a Distribution function. 
653 |a Empirical distribution function. 
653 |a Equation. 
653 |a Estimation theory. 
653 |a Estimation. 
653 |a Identity matrix. 
653 |a Independence (probability theory). 
653 |a Interval (mathematics). 
653 |a Inverse probability. 
653 |a Invertible matrix. 
653 |a Joint probability distribution. 
653 |a Laplace distribution. 
653 |a Lebesgue integration. 
653 |a Lebesgue measure. 
653 |a Lebesgue-Stieltjes integration. 
653 |a Likelihood function. 
653 |a Limit (mathematics). 
653 |a Linear regression. 
653 |a Logarithm. 
653 |a Logarithmic derivative. 
653 |a Logarithmic scale. 
653 |a Marginal distribution. 
653 |a Mathematical analysis. 
653 |a Mathematical induction. 
653 |a Mathematical statistics. 
653 |a Mathematical theory. 
653 |a Mathematics. 
653 |a Matrix (mathematics). 
653 |a Maxima and minima. 
653 |a Measure (mathematics). 
653 |a Method of moments (statistics). 
653 |a Metric space. 
653 |a Minor (linear algebra). 
653 |a Moment (mathematics). 
653 |a Moment matrix. 
653 |a Normal distribution. 
653 |a Numerical analysis. 
653 |a Parameter. 
653 |a Parity (mathematics). 
653 |a Poisson distribution. 
653 |a Probability distribution. 
653 |a Probability theory. 
653 |a Probability. 
653 |a Proportionality (mathematics). 
653 |a Quantity. 
653 |a Random variable. 
653 |a Realization (probability). 
653 |a Riemann integral. 
653 |a Sample space. 
653 |a Sampling (statistics). 
653 |a Scientific notation. 
653 |a Series (mathematics). 
653 |a Set (mathematics). 
653 |a Set function. 
653 |a Sign (mathematics). 
653 |a Standard deviation. 
653 |a Statistic. 
653 |a Statistical Science. 
653 |a Statistical hypothesis testing. 
653 |a Statistical inference. 
653 |a Statistical regularity. 
653 |a Statistical theory. 
653 |a Subset. 
653 |a Summation. 
653 |a Theorem. 
653 |a Theory. 
653 |a Transfinite number. 
653 |a Uniform distribution (discrete). 
653 |a Variable (mathematics). 
653 |a Variance. 
653 |a Weighted arithmetic mean. 
653 |a Z-test. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Mathematical Series eBook Package  |z 9783110501063  |o ZDB-23-PMS 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691005478 
856 4 0 |u https://doi.org/10.1515/9781400883868 
856 4 0 |u https://www.degruyter.com/isbn/9781400883868 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400883868/original 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
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