Proofs of Some Limit Theorems in Probability

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Description

This study gives detailed proofs of some limit theorems in probability which are important in theoretical and applied probability, The general introduction contains definitions and theorems that are basic tools of the later development. Included in this first chapter is material concerning normal distributions and characteristic functions, The second chapter introduces lower and upper bounds of the ratio of the binomial distribution to the normal distribution., Then these bound are used to prove the local Deioivre-Laplace limit theorem. The third chapter includes proofs of the central limit theorems for identically distributed and non-identically distributed random variables,

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iii, 34 leaves

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Hwang, E-Bin December 1974.

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This thesis is part of the collection entitled: UNT Theses and Dissertations and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. More information about this thesis can be viewed below.

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  • Hwang, E-Bin

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This study gives detailed proofs of some limit theorems in probability which are important in theoretical and applied probability,
The general introduction contains definitions and theorems that are basic tools of the later development. Included in this first chapter is material concerning normal distributions and characteristic functions, The second chapter introduces lower and upper bounds of the ratio of the binomial distribution to the normal distribution., Then these bound are used to prove the local Deioivre-Laplace limit theorem. The third chapter includes proofs of the central limit theorems for identically distributed and non-identically distributed random variables,

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iii, 34 leaves

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UNT Theses and Dissertations

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  • December 1974

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  • June 24, 2015, 9:39 a.m.

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  • Sept. 15, 2016, 8:34 p.m.

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Citations, Rights, Re-Use

Hwang, E-Bin. Proofs of Some Limit Theorems in Probability, thesis, December 1974; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc663330/: accessed January 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .