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Mathematical Methods of Statistics
A01=Harald Cramer
Addition theorem
Arithmetic mean
Author_Harald Cramer
Axiom
Bias of an estimator
Binomial distribution
Binomial theorem
Bolzano-Weierstrass theorem
Borel set
Bounded set (topological vector space)
Calculation
Category=PBT
Characteristic function (probability theory)
Coefficient
Confidence interval
Convergence of random variables
Correlation coefficient
Degeneracy (mathematics)
Degrees of freedom (statistics)
Dimension
Distribution (mathematics)
Distribution function
Empirical distribution function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Estimation
Estimation theory
Independence (probability theory)
Interval (mathematics)
Joint probability distribution
Laplace distribution
Lebesgue measure
Limit (mathematics)
Linear regression
Logarithm
Logarithmic derivative
Mathematical analysis
Mathematical induction
Mathematical statistics
Mathematical theory
Measure (mathematics)
Method of moments (statistics)
Metric space
Minor (linear algebra)
Moment (mathematics)
Moment matrix
Normal distribution
Parameter
Parity (mathematics)
Poisson distribution
Probability
Probability distribution
Probability theory
Proportionality (mathematics)
Quantity
Random variable
Realization (probability)
Sampling (statistics)
Scientific notation
Series (mathematics)
Set (mathematics)
Set function
Sign (mathematics)
Statistical hypothesis testing
Statistical regularity
Statistical Science
Statistical theory
Summation
Theorem
Uniform distribution (discrete)
Variable (mathematics)
Variance
Weighted arithmetic mean
Z-test
Product details
- ISBN 9780691005478
- Weight: 794g
- Dimensions: 197 x 254mm
- Publication Date: 12 Apr 1999
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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In this classic of statistical mathematical theory, Harald Cramer 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 Cramer'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.
Harald Cramer was Professor of Actuarial Mathematics and Mathematical Statistics, and director of the Institute of Mathematical Statistics at the University of Stockholm.
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