chapter 1 Introduction and Historical Remarks -- chapter L _.L._. -- chapter proximation isdiscussed tostudy the stationary distribution, theabsorption -- chapter 2 Logistic Order Statistics and Their Properties -- {P(zi)}i-l{1 -- chapter E(Zi E(Z7 -- chapter = a)I -- O<a<1. -- chapter + + + + r(i)r(n + + + -- chapter = + + + -- chapter the resulting equation. get -- chapter a: = a: + -- chapter moments other than the immediate upper-diagonal product moments, viz., < nand / (-I)k -- chapter 31 (_I)/(n / -1)k( -- chapter (I -k -1) Il\ -- chapter Proof. n -- chapter ••(ZI>F] z\\). -- chapter 3 Maximum Likelihood Estimation Based on Complete and Type II Censored Samples / N. Balakrishnan -- chapter a)/a -- chapter e;-[!*(Z,+1:,) ---a -- [!*(Z,+1:,) / .!.[_( -- chapter P. Zn-where ' -and expressing the -- chapter (see Gupta and others, and Chapter 4) by -- chapter = = = -- chapter n= r = s = -- chapter 4 Linear Estimation Based on Complete and Censored / Samples -- chapter 4 2 BEST LINEAR UNBIASED ESTIMATION BASED ON CENSORED SAMPLES N. Balakrishnan -- chapter I(laT aIT)p-1 -- chapter )/u by Gupta, Qureishi, Shah sample sizes (1)5(5)25 rand s. -- chapter.) = -- chapter = + = -- chapter. -. s, -- chapter 4 4 ESTIMATION OF QUANTILES USING STATISTICS A. K. Md. Ehsanes Saleh Khatab M. Hassanein -- chapter + (u/V3) + (u/V3) / :\\Xi(l -- chapter I), -- chapter ; r -- chapter. =. -- chapter K. K, §' K K, K K, K K, K -- chapter =. = S' -- chapter 5 Reliabil -- Estimation Based Complete Censored Samples -- chapter U6 fl - -- chapter metry of the logistic distribution, have the upper tolerance limit -- chapter + t,a, -- chapter = + = = -- chapter 5 6 ILLUSTRATIVE EXAMPLE -- chapter 6 Ranking and Selection Procedures -- chapter 0, = -- chapter reliability contexts, and a review these provided Gupta -- chapter 7 Characterizations --log -- chapter statesthat the logistic, andonly thelogistic, distributions have the property -- chapter = pr pi -- chapter tion, and let 1, be a sequence of sample with distributions -- chapter x, y -- chapter 8 Translated Families of Distributions -- chapter Vjf. Vjf. sVjf. -- chapter < If -- chapter If Eand 8 -- \\I'jf. \\I'jf. -- chapter Xp's {X p }. -- chapter 9 Univariate Generalized Distributions -- chapter (9.3.3) has a solution in a if and only if -2 < b, <, so that the -- ;;-+l' / ;=o:- -- chapter same asthe median relative to the ina normally distributed -- chapter 10 Some Related Distributions -- chapter < < > -- chapter 11 Multivariate Logistic Distributions -- chapter + p { _ + :2 -- chapter. -- chapter I <. -- chapter 11 4 OF EXTREMES -V -- chapter LJ· LJ· -- Uz-,/ -- chapter + + + + -- chapter 11 7 FARLlE·GUMBEL·MORGENSTERN DISTRIBUTIONS -- chapter Z· Z· -- chapter 12 Outlier and Robustness of Estimators -- chapter + •• -- chapter < s + > x + -- chapter for; -- chapter x, f(x -- chapter 12 5 ROBUSTNESS OF ESTIMATORS OF AND -- chapter + 0\ -- chapter 12 5.2 Estimators of the Standard Deviation a -- chapter = 1)} ' -- chapter 13 Goodness-of-Fit Tests -- chapter F\ -- chapter y= tl = x. -- chapter.0.0.0 -- chapter 13 4 EXAMPLES OF LOGISTIC PROBABILITY Figure 13.4.1 probability plot of the of the -- chapter • • • -- chapter 3 2 -- chapter 13 9.3 Estimation of by the Ungrouped MLE (tl. / -.!- -- chapter = = = = = -- chapter 13 10 STATISTICS 13.10.1 Introduction = #(X -- chapter G(t) t, -s t :s 1. -- chapter W;.• -- chapter, :\ -- chapter Statistic -- Hypothesis- -- chapter X X\ -- chapter + -3 • -- chapter n.u.i -- chapter APPENDIX VIII. UNI Data Set -- chapter 14 Tolerance Limits and Sampling Plans Based on Censored Samples -- chapter determining the tolerance limits developed in the earlier sections. 14.2 ONE-SIDED TOLERANCE LIMITS :s :s -- chapter _v'3 -- chapter = [ { -- chapter 14 5 ACCEPTANCE SAMPLING PLANS -- chapter 15 Logistic Stochastic Growth Models and Applications -- chapter If = -- chapter 15 2 SOME STOCHASTIC LOGISTIC GROWTH MODELS -- chapter + x + + -- chapter = [1'\ -- chapter = 1>[1 -- chapter + 1] -- chapter v =T i / (iZi) -- chapter 15 4.2 Absorption Probability Distribution and Moments of First Absorption Times s s Mare -- chapter = = = -- chapter = t),; = -- chapter + = -I, -- chapter APPENDIX ':,. i = v=I -- chapter 16 Logistic Growth Models and Related Problems -- chapter I {y; -f(x;. 6)F -- chapter <. s -- chapter = \ / -lIa(EC -- chapter If.we. -- chapter = < = = -- chapter m, It -- chapter 17 Applications in Health and Social Sciences -- chapter =. -- In(::) -- chapter ponent anda lack-of-fit component. the model accounts tor the variation -- chapter 17 7 GOODNESS-OF FIT TESTS THE LOGISTIC DISTRIBUTION = + )J -- chapter 18 Some Other Applications -- chapter this section. The data to be analyzed are ornithological data -- chapter 18 2.2 Results m-almost -- m-a.s -- chapter APPENDIX 18.2.A The Log Gamma Distribution -- chapter 18 2.B standard generalized logistic -- chapter 18 3.2 Estimator of -- chapter + '( -')2 -- chapter )F, -- chapter o : ; = ; = -- chapter + rsL. -- chapter least-maximum approximant -- chapter 18 5.2 Logistic Equation / O<b<l, -- chapter reaction, latter external substrata level controls growth -- chapter Kumar (l990a). -- chapter 8 30-57. -- chapter Bibliography -- chapter of symmetrically truncated logistic distribution. -- chapter erators, -- chapter y/nvestigacion Operativa, 3/,232-245. -- chapter University Minnesota, Minneapolis, Minnesota. -- chapter of the United States and mathematical representation -- chapter Ann. -- chapter Canadian precipitation data. Suuist., 226. -- chapter moments and marginals. Amer. Assoc, 82-86. -- chapter Methodology forthedifferential diagnosis complex dataset: A -- chapter Author Index -- chapter Greenberg, B. G., -- chapter Petunin. I. 186.574 Reed. J.• 16.398.424.427. -- chapter Tritchler. D. L. 464-466. Walker. S. H., -- chapter Subject Index -- chapter alized) distribution. samples, 80-82 -- chapter functional behavior ofordersta- indifference approach. 151-.