<< >> << 95 [134 0 R] << 214 [253 0 R] >> >> /Pg 598 0 R << endobj /S /Part << >> /Kids [471 0 R 472 0 R 473 0 R 474 0 R 475 0 R] 80 0 obj << << /Count 25 /S /Part /Kids [501 0 R 502 0 R 503 0 R 504 0 R 505 0 R] >> 113 0 obj /S /Part endobj /Pg 564 0 R endobj << Melnikova, Irina V. and Alexei Filinkov /S /Part endobj >> /K 0 endobj 3 [42 0 R] /K 0 endobj endobj endobj 95 0 obj << /Kids [307 0 R 308 0 R 309 0 R 310 0 R 311 0 R] endobj /K 0 endobj /Length 1783 /K 0 << 112 [151 0 R] 105 [144 0 R] << /K 0 /S /Part /K 0 >> /Pg 504 0 R /Pg 536 0 R >> /P 16 0 R >> /Count 25 /K 0 >> 51 0 R 52 0 R 53 0 R 54 0 R 55 0 R 56 0 R 57 0 R 58 0 R 59 0 R 60 0 R /Pg 587 0 R 150 0 obj /S /Part 56 0 obj << 241 0 R 242 0 R 243 0 R 244 0 R 245 0 R 246 0 R 247 0 R 248 0 R 249 0 R 250 0 R << /Kids [391 0 R 392 0 R 393 0 R 394 0 R 395 0 R] >> 231 0 obj /Pg 34 0 R /Limits [128 159] /Pg 429 0 R >> /S /Part 204 0 obj 123 0 obj /K 0 /Metadata 38 0 R endobj /Pg 414 0 R 328 0 obj 176 [215 0 R] >> 137 0 obj endobj Statistical modeling is at the heart of many engineering problems. /S /Part 125 [164 0 R] /S /Part << >> /S /Part >> endobj /D [34 0 R /FitH 630] << /S /Part /P 16 0 R /Type /Pages 111 0 obj /P 16 0 R Cauchy (11 better) can achieve more significant improvements compared to Gaussian (9 better). endobj /S /Part << /K 0 332 0 obj The parameters of the distribution are m, the mode, and s, the scale. >> /K 0 endobj /S /Part >> << << >> /S /Part endobj 60 [99 0 R] << /P 16 0 R >> endobj /Kids [541 0 R 542 0 R 543 0 R 544 0 R 545 0 R] /MediaBox [0 0 414.73 625.692] endobj endobj 236 [275 0 R] 202 0 obj /S /Part 251 0 R 252 0 R 253 0 R 254 0 R 255 0 R 256 0 R 257 0 R 258 0 R 259 0 R 260 0 R >> >> /P 16 0 R << /P 16 0 R 255 0 obj /S /Part endobj endobj << >> /Count 5 21 0 obj /K 0 /K 0 /S /Part /K 0 /Type /Pages /P 16 0 R Active 1 year, 9 months ago. The problem with existence and niteness is avoided if tis replaced by it, where tis real and i= p 1. 25 [64 0 R] Il a enseigné à la facu […] /S /Part /Type /Pages /Count 5 endobj >> << /Pg 492 0 R /StructParents 2 /K 0 /P 16 0 R /Count 5 stream >> >> >> endobj The importance of statistical modeling emanates not only from the desire to accurately characterize stochastic events, but also from the fact that distributions are the central models utilized to derive sample processing theories and methods. << /Kids [566 0 R 567 0 R 568 0 R 569 0 R 570 0 R] /P 16 0 R 200 [239 0 R] /Kids [606 0 R 34 0 R 349 0 R 39 0 R 353 0 R 354 0 R 355 0 R] 127 0 obj /Pg 402 0 R 213 0 obj /S /Part /P 16 0 R >> /P 16 0 R 215 0 obj endobj << >> >> /Pg 475 0 R endobj endobj /P 16 0 R /Pg 465 0 R /Pg 559 0 R 74 0 obj 58 0 obj >> >> endobj << << << 280 0 obj endobj >> 91 [130 0 R] /Kids [322 0 R 323 0 R 324 0 R 325 0 R 326 0 R] << /K 0 /Pg 445 0 R /K 0 endobj 241 0 obj << /S /Part 307 0 obj 208 0 obj /S /Part /K 0 /S /Part /P 16 0 R /K 0 /P 16 0 R >> /Rotate 0 >> << /K 0 endobj << >> /Pg 480 0 R ] /Limits [192 255] 156 [195 0 R] /K 0 >> /P 16 0 R 172 0 obj /P 16 0 R /K 0 << /Kids [9 0 R 10 0 R] endobj /K 0 183 0 obj endobj /S /Part /Count 5 endobj This is intended for undergraduate, junior postgraduate, and engineers. >> /P 16 0 R 163 0 obj >> /S /Part endobj /Parent 18 0 R << /S /Part << endobj 181 0 R 182 0 R 183 0 R 184 0 R 185 0 R 186 0 R 187 0 R 188 0 R 189 0 R 190 0 R /K 0 << 343 0 obj /Pg 486 0 R endobj /S /Part 134 0 obj 43 0 obj << << << >> >> 92 [131 0 R] 196 0 obj /Pg 371 0 R /Kids [332 0 R 333 0 R 334 0 R 335 0 R 336 0 R] /Pg 368 0 R >> 24 [63 0 R] endobj /Type /Pages /P 16 0 R /Limits [64 95] endobj endobj b. /K 0 /P 16 0 R endobj << When studying hypothesis tests that assume normality, seeing how the tests perform on data from a Cauchy distribution is a good indicator of how sensitive the tests are to heavy-tail departures from normality. /S /Part 62 0 obj << /P 16 0 R 241 [280 0 R] /K 0 /Kids [296 0 R 297 0 R 298 0 R 299 0 R 300 0 R 301 0 R] /S /Part /Parent 24 0 R >> endobj /S /Part /P 16 0 R On appelle fonction exponentielle l'isomorphisme E  : R  →  R * + , réciproque du logarithme népérien ; ainsi, pour tout nombre réel x , E( x ) = exp  x est l'unique nombre réel >  0 dont le logarithme népérien est égal à x , soit : cela entraîne aussi, par composition de L et E que, pour tout x  ∈  R et pour tout y  ∈  R * + , on a : Puisque la fonction logarithme népérien est strictement cr […] /S /Part /K 0 /Pg 493 0 R endobj 80 [119 0 R] On se souvient que la formulation du problème de Cauchy en théorie des distributions amène à étudier l'équation aux dérivées partielles en supposant que second membre et solution ont leur support dans le « futur » (c'est-à-dire le demi-espace t  ≥ 0). 79 0 obj /K 0 /P 16 0 R /K 0 83 [122 0 R] Lire la suite, Dans le chapitre « La fonction exponentielle » 184 0 obj 271 0 obj << endobj /S /Part 27 [66 0 R] /P 16 0 R /CropBox [0 0 595 842] endobj 70 0 obj /S /Part << >> /Pg 489 0 R

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