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| 005 | 20210906093122.0 | ||
| 008 | 050816s2005 riua b 001 0 eng | ||
| 010 | _a 2005052661 | ||
| 020 | _a082183732X (alk. paper) | ||
| 040 |
_aDLC _cDLC _dDLC _erda |
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| 041 | 1 |
_aeng _hrus |
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| 050 | 0 | 0 |
_aQA276.16 _b.L5513 2005 |
| 082 | 0 | 0 |
_a519.5 _bL.Y.L _222 |
| 100 | 1 |
_aLinʹkov, I͡U︡. N. _925599 _eauthor |
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| 240 | 1 | 0 |
_aLekt͡s︡ii po matematicheskoi statistike. _lEnglish |
| 245 | 1 | 0 |
_aLectures in mathematical statistics : _bparts 1 and 2 / _cYu. N. Linʹkov ; translated by Oleg Klesov and Vladmir Zayats. |
| 264 | 1 |
_aProvidence, R.I. : _bAmerican Mathematical Society, _cc2005. |
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| 264 | 4 | _cc2005. | |
| 300 |
_avii, 321 pages : _billustrations ; _c27 cm. |
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| 336 |
_2rdacontent _atext |
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| 337 |
_2rdamedia _aunmediated |
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| 338 |
_2rdacarrier _avolume |
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| 440 | 0 |
_aTranslations of mathematical monographs, _x0065-9282 ; _vv. 229 _925600 |
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| 504 | _aIncludes bibliographical references and index. | ||
| 505 | 0 | _a pt. 1. Samples from one-dimensional distributions -- Empirical distribution function and its asymptotic behavior -- Sample characteristics and their properties -- Order statistics and their properties -- The distributions of some functions of Gaussian random vectors -- Samples from multidimensional distributions -- Empirical distribution function, sampling moments, and their properties -- Sampling regression and its properties -- Estimation of unknown parameters of distributions -- Statistical estimators and their quality measures -- Estimation of a location parameter -- Estimation of a scale parameter -- The Cramér-Rao inequality and efficient estimators -- The Cramér-Rao inequality for a multidimensional parameter -- Integral inequalities of Cramér-Rao type -- Sufficient statistics -- Sufficient statistics and a theorem on factorization -- Sufficient statistics and optimal estimators -- General methods for constructing estimators -- Method of moments -- The maximum likelihood method -- Bayes and minimax methods -- Confidence intervals and regions -- pt. 2. General theory of hypotheses testing -- Testing two simple hypotheses -- Distinguishing a finite number of simple hypotheses -- Distinguishing composite hypotheses -- Asymptotic distinguishability of simple hypotheses -- Statistical hypotheses and tests -- Types of the asymptotic distinguishability of families of hypotheses. The characterization of types -- Complete asymptotic distinguishability under the strong law of large numbers -- Complete asymptotic distinguishability under the weak convergence -- Contiguous families of hypotheses -- Goodness-of-fit tests -- The setting of the problem. Kolmogorov test -- The Pearson test -- Smirnov test -- Other goodness-of-fit tests -- Sequential tests -- Bayes sequential tests of hypotheses -- Wald sequential tests -- The optimality of a sequential Wald test. | |
| 650 | 0 |
_aMathematical statistics. _925601 |
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| 856 | 4 | 1 |
_3Table of contents _uhttp://www.loc.gov/catdir/toc/fy0604/2005052661.html |
| 856 | 4 | 1 |
_3Abstract _uhttp://repository.fue.edu.eg/xmlui/handle/123456789/2692 |
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_cBK _2ddc |
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