Download PDF by A. K. Govil (auth.): Definitions and Formulae in Statistics

By A. K. Govil (auth.)

ISBN-10: 0333286782

ISBN-13: 9780333286784

ISBN-10: 0333902416

ISBN-13: 9780333902417

ISBN-10: 1349053953

ISBN-13: 9781349053957

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Only. ) } GENERAL DISTRIBUTION -oo Z2,'" is defined by Zn = X. -,. <1/"vn==' n = 1,2,3, ... 30 Basic Statistics 2: n where X" =- 'n Xi; ;=] then, for aIl real I, Lim FZ n (I) Nz (I) n·~oo where N z (I) is the standard normal distribution function. De·Moivre's Laplace Theorem If X. = { , I, with probability p, 0, with probability q, then the distribution of the random variable S" = Xl + X 2 + ...

Bas a probability function given by, P(X1 =Xl' X 2 =X2 , ... , = x .. ) =j(Xl' x 2 ,. ,x.. ) n Nt BPi t=l Xi Some Standard Distributions 25 where and Xi are positive integers and each Pi>O for i= 1,2, ... , n n n ;=1 ;=1 2: pi=l, 2: xi=N. Mean of X i =lli=Npi Variance of X i =ai2 =Npi (I-Pi) Conlinuous Distributions Tbe random variable X bas density function following. given by tbe UNIFORM DISTRIBUTION 1 f(x) = - ß-oe where

5. The angle between the equations of the Iines of regression of Y on X and X on Y, is < >r. Chapter Seven SAMPLING Sampling is a statistical technique which aUows' one to estimate the values of various population parameters from measurements made on a fraction (subset), called a sampie, of the members of the population. This fraction must be representative of all the members of the population if proper inferences are to be made about the population parameters. Types of Sampling Some of the commonly known and frequently used types of sampling are described below.

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Definitions and Formulae in Statistics by A. K. Govil (auth.)

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