A Probability PathMany probability books are written by mathematicians and have the built in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research in statistics, applied probability, biology, operations research, mathematical finance, and engineering.
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Contents
II | 1 |
III | 2 |
IV | 5 |
V | 6 |
VI | 8 |
VII | 11 |
VIII | 13 |
IX | 15 |
LXXIX | 219 |
LXXX | 222 |
LXXXI | 226 |
LXXXII | 230 |
LXXXIII | 234 |
LXXXIV | 247 |
LXXXVII | 252 |
LXXXVIII | 255 |
X | 16 |
XI | 18 |
XII | 20 |
XIII | 29 |
XIV | 35 |
XV | 36 |
XVI | 40 |
XVII | 42 |
XVIII | 43 |
XIX | 49 |
XX | 57 |
XXII | 61 |
XXIII | 63 |
XXIV | 71 |
XXVII | 74 |
XXVIII | 77 |
XXIX | 80 |
XXX | 81 |
XXXI | 83 |
XXXII | 85 |
XXXIII | 91 |
XXXIV | 93 |
XXXV | 95 |
XXXVII | 98 |
XXXVIII | 100 |
XXXIX | 102 |
XLI | 103 |
XLII | 107 |
XLIII | 110 |
XLIV | 117 |
XLVII | 118 |
XLVIII | 119 |
L | 122 |
LI | 123 |
LII | 131 |
LIII | 134 |
LIV | 135 |
LV | 137 |
LVI | 139 |
LVIII | 143 |
LIX | 147 |
LX | 149 |
LXI | 155 |
LXII | 167 |
LXIII | 169 |
LXIV | 170 |
LXV | 171 |
LXVI | 178 |
LXVII | 180 |
LXVIII | 182 |
LXIX | 186 |
LXX | 189 |
LXXI | 195 |
LXXII | 203 |
LXXV | 204 |
LXXVI | 209 |
LXXVII | 213 |
LXXVIII | 215 |
LXXXIX | 258 |
XC | 261 |
XCI | 263 |
XCII | 267 |
XCIII | 268 |
XCIV | 270 |
XCV | 274 |
XCVI | 278 |
XCVII | 282 |
XCVIII | 293 |
XCIX | 294 |
C | 295 |
CI | 297 |
CIII | 301 |
CIV | 302 |
CV | 307 |
CVII | 309 |
CVIII | 311 |
CIX | 312 |
CX | 314 |
CXI | 321 |
CXII | 333 |
CXV | 339 |
CXVI | 344 |
CXVII | 353 |
CXVIII | 356 |
CXIX | 360 |
CXXI | 363 |
CXXII | 366 |
CXXIII | 367 |
CXXIV | 369 |
CXXVI | 371 |
CXXVII | 374 |
CXXVIII | 377 |
CXXIX | 379 |
CXXXI | 380 |
CXXXII | 382 |
CXXXIII | 386 |
CXXXV | 387 |
CXXXVI | 388 |
CXXXVII | 390 |
CXXXVIII | 392 |
CXXXIX | 398 |
CXL | 400 |
CXLI | 402 |
CXLII | 407 |
CXLIII | 409 |
CXLIV | 412 |
CXLV | 416 |
CXLVII | 419 |
CXLVIII | 420 |
CXLIX | 425 |
CL | 428 |
CLI | 429 |
| 443 | |
| 445 | |
Other editions - View all
Common terms and phrases
apply approximating assume bounded called Chapter claim closed common conclude condition consider constant containing continuous convergence Corollary countable Define definition density disjoint distribution function dominated E(Xn elements equality equivalent example Exercise exists expectation extension fact field finite given gives hence holds implies independent independent random variables inequality integrable interval Lebesgue Lemma Let Xn lim inf lim sup limit martingale means measure monotone non-negative normal Note o-field observe positive probability probability measure probability space Proof Proposition prove random variables Recall regular result sample satisfying sequence sequence of random Show side simple stopping subsets suffices sums supermartingale Suppose Xn surely Theorem true uniform uniformly union unique verify write
Bibliographic information
| Title | A Probability Path Modern Birkhäuser Classics, ISSN 2197-1803 |
| Author | Sidney Resnick |
| Edition | illustrated, reprint |
| Publisher | Springer Science & Business Media, 2003 |
| ISBN | 081764055X, 9780817640552 |
| Length | 453 pages |
| Subjects | › › Business & Economics / Operations Research Mathematics / Applied Mathematics / Probability & Statistics / General Mathematics / Probability & Statistics / Stochastic Processes |
| Export Citation | BiBTeX EndNote RefMan |