Probability, Statistical Optics, and Data Testing: A Problem Solving ApproachSpringer Science & Business Media, 17 juil. 2001 - 493 pages Scientists in optics are increasingly confronted with problems that are of a random nature and that require a working knowledge of probability and statistics for their solution. This textbook develops these subjects within the context of optics using a problem-solving approach. All methods are explicitly derived and can be traced back to three simple axioms given at the outset. Students with some previous exposure to Fourier optics or linear theory will find the material particularly absorbing and easy to understand. This third edition contains many new applications to optical and physical phenomena. This includes a method of estimating probability laws exactly, by regarding them as laws of physics to be determined using a new variational principle. |
Table des matières
I | 1 |
II | 3 |
IV | 4 |
V | 5 |
VII | 7 |
IX | 8 |
XI | 9 |
XIII | 10 |
CC | 227 |
CCI | 229 |
CCIII | 230 |
CCIV | 231 |
CCVI | 232 |
CCVIII | 233 |
CCIX | 234 |
CCX | 235 |
XV | 11 |
XVII | 12 |
XIX | 13 |
XX | 14 |
XXI | 15 |
XXIII | 17 |
XXIV | 18 |
XXV | 20 |
XXVI | 21 |
XXVII | 22 |
XXIX | 23 |
XXXI | 24 |
XXXII | 25 |
XXXIII | 26 |
XXXIV | 27 |
XXXV | 28 |
XXXVII | 29 |
XXXVIII | 30 |
XXXIX | 31 |
XL | 39 |
XLIII | 41 |
XLV | 42 |
XLVI | 43 |
XLVII | 44 |
XLVIII | 45 |
L | 46 |
LI | 47 |
LII | 48 |
LIV | 49 |
LV | 50 |
LVII | 51 |
LIX | 52 |
LX | 53 |
LXII | 55 |
LXIII | 56 |
LXV | 58 |
LXVIII | 68 |
LXXI | 69 |
LXXII | 70 |
LXXV | 71 |
LXXVII | 72 |
LXXX | 73 |
LXXXI | 79 |
LXXXIII | 80 |
LXXXVI | 81 |
LXXXVIII | 82 |
XCI | 83 |
XCV | 84 |
XCVI | 85 |
XCVII | 87 |
XCVIII | 89 |
C | 90 |
CI | 91 |
CIII | 92 |
CIV | 93 |
CV | 94 |
CVII | 95 |
CVIII | 97 |
CXI | 98 |
CXII | 99 |
CXIII | 100 |
CXIV | 102 |
CXV | 107 |
CXVII | 108 |
CXVIII | 109 |
CXIX | 110 |
CXX | 111 |
CXXII | 112 |
CXXIV | 113 |
CXXVI | 114 |
CXXVIII | 115 |
CXXIX | 116 |
CXXX | 117 |
CXXXII | 118 |
CXXXIV | 119 |
CXXXVI | 120 |
CXXXVII | 121 |
CXXXVIII | 122 |
CXXXIX | 123 |
CXL | 124 |
CXLI | 125 |
CXLII | 126 |
CXLIII | 147 |
CXLV | 149 |
CXLVII | 150 |
CXLVIII | 152 |
CL | 154 |
CLII | 155 |
CLIII | 156 |
CLIV | 157 |
CLV | 158 |
CLVII | 162 |
CLIX | 163 |
CLX | 164 |
CLXI | 175 |
CLXII | 176 |
CLXIII | 177 |
CLXV | 178 |
CLXVI | 180 |
CLXVII | 181 |
CLXVIII | 182 |
CLXIX | 183 |
CLXX | 191 |
CLXXII | 192 |
CLXXIII | 194 |
CLXXV | 195 |
CLXXVI | 196 |
CLXXVII | 197 |
CLXXVIII | 198 |
CLXXIX | 199 |
CLXXX | 201 |
CLXXXII | 202 |
CLXXXIII | 203 |
CLXXXIV | 208 |
CLXXXV | 211 |
CLXXXVI | 212 |
CLXXXVII | 213 |
CLXXXVIII | 217 |
CXC | 218 |
CXCI | 219 |
CXCII | 221 |
CXCIII | 222 |
CXCIV | 223 |
CXCVI | 224 |
CXCVII | 225 |
CXCIX | 226 |
CCXI | 236 |
CCXII | 237 |
CCXIII | 243 |
CCXIV | 244 |
CCXVI | 245 |
CCXVII | 246 |
CCXIX | 248 |
CCXX | 249 |
CCXXI | 250 |
CCXXII | 251 |
CCXXIII | 252 |
CCXXIV | 253 |
CCXXVI | 255 |
CCXXVII | 256 |
CCXXVIII | 258 |
CCXXX | 259 |
CCXXXI | 261 |
CCXXXIII | 263 |
CCXXXIV | 264 |
CCXXXVI | 269 |
CCXXXVII | 270 |
CCXXXIX | 272 |
CCXL | 273 |
CCXLI | 277 |
CCXLII | 278 |
CCXLIII | 281 |
CCXLIV | 282 |
CCXLVI | 283 |
CCXLVIII | 284 |
CCXLIX | 285 |
CCL | 286 |
CCLI | 287 |
CCLII | 288 |
CCLIII | 289 |
CCLIV | 290 |
CCLVII | 291 |
CCLVIII | 292 |
CCLIX | 293 |
CCLX | 294 |
CCLXI | 296 |
CCLXII | 307 |
CCLXIII | 308 |
CCLXIV | 309 |
CCLXV | 311 |
CCLXVI | 312 |
CCLXVII | 313 |
CCLXVIII | 314 |
CCLXIX | 315 |
CCLXX | 321 |
CCLXXI | 322 |
CCLXXIII | 323 |
CCLXXIV | 325 |
CCLXXV | 326 |
CCLXXVI | 327 |
CCLXXVIII | 329 |
CCLXXIX | 333 |
CCLXXXI | 334 |
CCLXXXII | 335 |
CCLXXXIII | 336 |
CCLXXXV | 341 |
CCLXXXVII | 343 |
CCLXXXVIII | 345 |
CCLXXXIX | 346 |
CCXC | 347 |
CCXCII | 349 |
CCXCIII | 350 |
CCXCV | 351 |
CCXCVI | 353 |
CCXCVII | 363 |
CCXCIX | 364 |
CCC | 366 |
CCCII | 367 |
CCCIII | 368 |
CCCV | 371 |
CCCVI | 375 |
CCCVII | 376 |
CCCVIII | 377 |
CCCX | 378 |
CCCXI | 379 |
CCCXIII | 380 |
CCCXV | 383 |
CCCXVI | 384 |
CCCXVII | 387 |
CCCXVIII | 388 |
CCCXX | 389 |
CCCXXI | 391 |
CCCXXII | 393 |
CCCXXIII | 394 |
CCCXXIV | 395 |
CCCXXV | 397 |
CCCXXVI | 398 |
CCCXXVII | 399 |
CCCXXVIII | 400 |
CCCXXIX | 405 |
CCCXXX | 413 |
CCCXXXI | 415 |
CCCXXXII | 416 |
CCCXXXIII | 420 |
CCCXXXIV | 421 |
CCCXXXV | 422 |
CCCXXXVI | 423 |
CCCXXXVII | 424 |
CCCXXXIX | 425 |
CCCXL | 426 |
CCCXLII | 427 |
CCCXLIII | 428 |
CCCXLIV | 431 |
CCCXLV | 433 |
CCCXLVI | 435 |
CCCXLVIII | 436 |
CCCXLIX | 437 |
CCCL | 438 |
CCCLI | 439 |
CCCLIII | 440 |
CCCLV | 441 |
CCCLVI | 451 |
CCCLVII | 453 |
CCCLVIII | 455 |
CCCLIX | 456 |
CCCLX | 459 |
CCCLXI | 461 |
CCCLXII | 464 |
| 469 | |
| 479 | |
Autres éditions - Tout afficher
Probability, Statistical Optics, and Data Testing: A Problem Solving Approach B. Roy Frieden Affichage d'extraits - 1983 |
Expressions et termes fréquents
amplitude answer approach assumed average Cauchy central limit theorem characteristic function chi-square coefficient computed consider constant coordinates correlation curve defined denote derivation differential equal equation error estimate event example factor finite Fisher information flip fluctuations Fourier transform frequency Gaussian given Hence hypothesis independent integral intensity interval known large numbers laser law of large likelihood law linear matrix maximum entropy measurement median noise normal obeys object observed occur optical optical transfer function output p(ya parameter particle partition law photon physical po(x point spread function Poisson position prior probability density probability law problem px(x quantity random variable randomly result RV's sample mean Sect shot noise Show solution speckle statistically independent statistics stochastic process Suppose theory transfer function unknown variance zero