Mathematical statistics

 Mathematical figures Essay

Continuous Distributions

Syndication

Uniform

Regular

Exponential

Gamma

Chi-square

Beta

Probability Function

f (y) =

n (y) sama dengan

1

; θ ≤ y ≤ θ2

Оё2 в€’ Оё1 1

1

you

(y в€’ Вµ)2

в€љ exp в€’

2

2Пѓ

Пѓ 2ПЂ

в€’в€ћ < y < +в€ћ

farreneheit (y) sama dengan

1

con О±в€’1 eв€’y/ОІ;

(О±)ОІ О±

0Variance

Оё1 + Оё2

2

(Оё2 в€’ Оё1 )2

doze

Вµ

Пѓ2

ОІ

ОІ2

(1 в€’ ОІt)в€’1

О±ОІ

О±ОІ a couple of

(1 в€’ ОІt)в€’О±

sixth is v

2v

(1в€’2t)в€’v/2

О±

О±+ОІ

О±ОІ

(О± + ОІ)2 (О± & ОІ & 1)

would not exist in

closed type

etОё2 в€’ etОё1

capital t (Оё2 в€’ Оё1 )

exp Вµt +

capital t 2Пѓ a couple of

2

Under the radar Distributions

Syndication

Binomial

Probability Function

p(y) =

n

y

s y (1 в€’ p)nв€’y;

Mean

Difference

MomentGenerating

Function

np

np(1 в€’ p)

[ pet & (1 в€’ p)]d

1

s

1в€’ l

pet

you в€’ (1 в€’ p)et

y sama dengan 0, one particular,..., n

Geometric

p(y) sama dengan p(1 в€’ p) yв€’1;

p

y = one particular, 2,...

Hypergeometric

p(y) sama dengan

r

y

Nв€’r

nв€’y

N

and

;

nr

D

n

ur

N

2

N в€’r

N

N в€’n

D в€’1

y = 0, 1,..., n if n ≤ 3rd there’s r,

y sama dengan 0, you,..., r in the event that n > r

Poisson

Negative binomial

О» y eв€’О»

;

con!

y = 0, you, 2,...

p(y) =

p(y) =

yв€’1

rв€’1

p r (1 в€’ p) yв€’r;

y = l, r & 1,...

О»

О»

exp[О»(et в€’ 1)]

r

l

r(1 в€’ p)

family pet

1 в€’ (1 в€’ p)et

g

2

ur

MATHEMATICAL STATS WITH APPLICATIONS

This page purposely left bare

SEVENTH EDITION

Mathematical

Figures with

Applications

Dennis D. Wackerly

University of California

William Mendenhall III

University of Fl, Emeritus

Rich L. Scheaffer

University of Florida, Nestor

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Mathematical Figures with Applications, Seventh Edition

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References: Patre, J. U. 1985. Statistical Decision Theory and Bayesian Analysis, second ed. Fresh

York: Springer-Verlag.

Box, G. E. L. 1980. " Sampling and Bayes' Inference in Medical Modeling and

Robustness, ” J

Box, G. E. P., and G. C. Tiao. 1992. Bayesian Inference in Record Analysis. New

York: Wiley Classics.

Casella, G., and R. L. Berger. 2002. Statistical Inference, 2d education. Pacific Grove,

Calif.: Duxbury.

Hogg, L. V., M. W. McKean, and A. T. Craig. 2005. Introduction to Mathematical

Statistics, 6th ed

Kepner, L., and G. Wackerly. 2002. " Findings on the Effect of the Prior

Division on the Predictive Distribution in Bayesian Inferences, ” Diary of

Mood, A. M., F. A. Graybill, and D. Boes. 1974. Introduction to the Theory of

Statistics, 3 dimensional ed

Rice, J. A. 1995. Numerical Statistics and Data Research, 2d male impotence. Belmont, Calif.:

Duxbury.

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