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| Авторизация |
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| Arnold B.C., Balakrishnan N., Nagaraja H.N. — A First Course in Order statistics |
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| Предметный указатель |
Markov chain 24 41 48 58 154 248 249 252 254
Masking effect 191
Mason, D.M. 228 266
Mason, R.L. 95 266
Max-stable 148 209 234
Maxima 208 210—213
Maximal attraction 208
Maximal invariant 159
Maximally dependent sequence 252 256
Maximum likelihood estimate (mle) 159 165 167—170 188 193 196 197 236
Maximum likelihood predictor 182
Mean record times 249—251
Mean residual life 211
Mean squared error 182
Median 27 97 113 206
Median chart 6
Mehrotra, K.G. 167 170 266
Melnick, E.L. 71 266 267
Midrange 33 34 138 218 222
Min-stable 148 215 234
Minima 5 52 208 213—214
Minimal attraction 213
Minimal sufficient statistic 163 164
Minimum variance unbiased estimate (MVUE) 159 162 168 169 176 188 193 194 195 197 202
Mishra, S.N. 2 262
Mixture alternative 190
Modified maximum likelihood estimates 170
Moments, approximations 128—131
Moments, bounds 120—128
Moments, characterizations 143—146
Moments, formulas 108—109
Moments, generating function 81
Moments, inequalities 110—120
Moments, relations 110—120
Monotone hazard rate 157
Monotone likelihood ratio 164
Mood, A.M. 2 267
Moriguti, S. 120 267
Most powerful test 159
Multiple comparisons 189
Multiple outliers 191
Murphy, R.B. 102 192 234 267
Nagaraja, H.N 39—41 50 58 106 167 182 234 242 251 255 267
Nanda, P. 170 266
New better than used (NBU) 39
New worse than used (NWU) 39
NonMarkovian nature of discrete order statistics 47—50
Nonparametric test 142
Normal distribution, asymptotic distribution of extremes 215 216
Normal distribution, best linear unbiased estimates 177 178 197 198
Normal distribution, distribution of order statistics 86—94 102
Normal distribution, estimates from censored samples 170
Normal distribution, expected maximum 126 127
Normal distribution, goodness-of-fit 189
Normal distribution, information in order statistics 167
Normal distribution, interquantile range 237
Normal distribution, least squares estimates 180
Normal distribution, outliers 191 201
Normal distribution, Q-Q plots 187
Normal distribution, robust estimates 193
Normal equations 172
Normal order statistics, means and covariances 91 92
Norming constants 213 216
Ogawa, J. 180 267
Olkin, I. 189 263
Olympic records 6 252 253
Optimal tests 162 164
Order statistics 1 9
Outliers 4 102 189—192 194 202
Ozawa, M. 70 269
Panchapakesan, S. 68 69 189 264
Parallel system 5
Pareto distribution 35 36 195 215 237 252 255
Pearson, E.S. 190 267
Pearson, K. 13 267
Penultimate limit behavior 216
Permutation group 159
Pexider, J.V. 158 267
Pfeifer, D. 253 267
Pinsker, I.Sh. 13 267
Pitman nearness 182
Pitman, E.J.G. 163 268
Pivotal quantity 195 200
Poisson distribution 70—71 235
Power function distribution 14 20 28
Prediction 180—183
Prediction interval 182 200
Probability integral transformation 189
Proschan, F. 39 260
pseudorandom 96
Q-Q plots 186—187 191 192 201
Quality control 5
Quantile differences 185
Quantile function 2 109
Quantiles 183—185
Quasimidrange 34
Quasirange 32 126 134 138
R charts 6
Ramberg, J.S. 96 268
RANGE 27 32 50 52 97 123 134 218 222
ranking 189
Rao, C.R. 142 152 179 265 268
Rayleigh distribution 197 235
Record counting process 242 246—247
Record indicator variable 245—248
Record range 248—249
Record time 242 245—248
Record value 220 241—257
Recurrence, relations 73 75 77 83 84 91 93 94 97—101 103 105 110—120
Regression characterizations 154
Reiss, R.D. 207 268
Reliability 5
Renyi, A. 73 248 268
Resnick, S.I. 206 219 241 244 253 260 268
Rhodin, L.S. 182 265
Riischendorf, L. 50 268
| Rizvi, M.H. 133 266
Robbins, H. 252 266
Robust estimates 4 192—194
Rogers, W.H. 194 259
Romanovsky, V. 135 269
Rootzen, H. 206 236 266
Rossberg, H.J. 143 152 153 158 268
Rousseau, C.C 150 263
Ruben, H. 87 268
Saleh, A.K.Md.E. 98 268
Samples of random size 155—157
Sampling without replacement 53—56
Sarhan, A.E. xv 1 92 168 176—178 198 199 268 269
Scale estimates 171—180
Scheffe, H. 22 269
Schlipf, J.S. 96 104 265
Schneider, B.E. 82 269
Schroder's equation 149 156
Schucany, W.R. 95 269
Scott, C 98 268
Seal, K.C 137 269
Selection 6 189
Selection differential 102 192 232—234
Selective breeding 6
Serfling, R.J 207 228 269
Series approximation 128—131
Series system 5 141
Shah, B.K. 38 82 86 100 264 269
Shapiro, S.S. 189 269
Shapiro-Wilk test 189
Shewhart, W.A. 185 269
Shorack, G.R. 207 228 269
Shorrock, R.W. 241 269
Shu, V.S. 40 202 262
Siddiqui, M.M. 252 261
Sillitto, G.P. 132 135 269
Simulation 95—97
Sine distribution 37
Sinha, S.K. 202 265
Siotani, M. 70 269
Slippage alternative 190
Slutsky's theorem 224
Smallest order statistic 12 95
Smirnov, N.V. 206 225 269
Sobel, M. 189 263
Sorting 95
Spacings 7 11 32 106 122 143 145 151 236
Srikantan, K.S. 112 116 132 269
Srivastava, R.C 60 269
Stegun, I.A. 44 82 259
Stephens, M.A. 94 188 262 269
Steutel, F.W. 77 270
Stigler, S.M. 206 228 231 232 270
Stirling numbers 246 248
Strength of materials 5
Sufficient statistics 90 91 93 162
Sukhatme, P.V. 72 203 270
Survival curves 141
Symmetric distributions 26 119 123 124 125 126 128 136 137 173 174 187
Szynal, D. 256 262
Tadikamalla, P.R. 96 268
Tail thickness 230
Takahasi, K. 39 270
Tamhane, A.C 189 264
Tan, W.Y. 170 270
Tarter, M.E. 101 270
Tata, M.N. 244 270
Teichroew, D. 91 270
Thiemann, J.G.F. 77 270
Thompson, W.R. 185 270
Three point distribution 65—66
Tietjen, G.L. 87 90 270
Tiku, M.L. 170 270
Tippett, L.H.C 3 87 206 209 216 263 270
Tolerance limits 185—186 200
Tournaments 7
Triangle rule 112 115 144
Triangular distribution 37
Trimmed means 4 193 194 231—232
Truncated exponential distribution 97—99
Truncated logistic 100 101
Tschebyschiff inequality 143 157
Tukey, J.W. 22 187 194 259 269
TYPE 209
Ultimate limit behavior 216
Unbiased estimate 182
Uncorrelated spacings 155
Uniform distribution, asymptotic distribution of order statistics 226 236—237 238
Uniform distribution, censored sample 195 199
Uniform distribution, characterizations 150
Uniform distribution, distribution of order statistics 13 19 40 78—81 104
Uniform distribution, expected maximum 126 127
Uniform distribution, median 27
Uniform distribution, midrange 33 34
Uniform distribution, moments of order statistics 131
Uniform distribution, probability integral transformation 21 189
Uniform distribution, range 33
Uniform distribution, record range 249
Uniform distribution, record values 249 255
Uniform distribution, simulation 95 104 106
Uniform distribution, unbiased estimates 164 175 195 199
Universal bounds 120—128 138 249—251
Upper record 220 242 243
Variational sequence 1
von Mises sufficient conditions 212 215—216 219 227
von Mises, R. 206 212 270
Weak convergence 205 206
Weakest link 5
Weibull distribution 37 214 221 225 227 244 255
Weibull type 210
Wellner, J.A. 207 228 269
Wilk, M.B. 186 187 189 269 270
Wilks, S.S. 60 61 270
Williams, G.T. 131 261
Yang, M.C.K. 253 270
Young, D.H. 133 270
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