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Hamming R.W. — Art of Probability for Scientists and Engineers
Hamming R.W. — Art of Probability for Scientists and Engineers

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Название: Art of Probability for Scientists and Engineers

Автор: Hamming R.W.

Аннотация:

Every field of knowledge has its subject matter and its methods, along with a style for handling them. The field of Probability has a great deal of Art component in it - not only is the subject matter rather different from that of other fields, but at present the techniques are not well organized into systematic methods.


Язык: en

Рубрика: Технология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 362

Добавлена в каталог: 21.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
A random game      205
Abelard      5
Animal population      138
Approximation of a unimodal distribution      311
Astronomy      3
Bacon, F.      5
Banach — Tarski paradox      191
Bayesian      vi 297
Bernoulli distribution      56—57
Bernoulli evaluation      126
Bernoulli of coin toss      127
Bernoulli symmetric payoff      127
Bernoulli trials      145
Bertrand's paradox      200
Biased coin      70 104
Binomial approximation      313 319
Binomial coefficients      48
Binomial distribution      55 82
Binomial mean and variance      80
Binomial middle coefficients      52
Binomial recurrence relation      48—49
Binomial sums      51 315 317
Birth and death systems      237
Birthday problem      27
Birthday problem, robustness      131
Birthday problem, simulation      135
Birthday problem, variant of      134
Boltzmann      254—255
Bose — Einstein statistics      62
Bounds on sums      35
Bridge hands      51
Bridge hands, void      53
Broken stick      194
Buffon needle      195
Canonical partitions      60
Card collecting      151
Cauchy distribution      290
Cauchy functional equation      257
Cauchy sequences      190
Characteristic equation      162 168 174
Chebyshev inequality      84 86
Coding theory      2
Coin, expected value      68
Coin, n heads in a row      52
Coin, three heads in a row      165
Coin, two heads in a row      160
Coincidences      30
Combinations      48
Combining information      264
Complement probability      27
Complex probability      302
Computable numbers      7 190
Comvolution      81
Conditional probability      18 268
Conservation of probability      160 166—167
Constructive mathematics      7
Continuous sample spaces      189
Convergence to the reciprocal distribution      222
Countably infinitive sample spaces      141
Craps      156
de Mere problem      90
Dead times      230
Descending factorials      30 44
di Finetti      vi 296
Dice, expected value      65
Dice, sum of three      60 68
Dice, sum of two      66
Dice, variance      75
Dice, variance of sum      76
Die (dice)      10
Difference equations      119
Disraeli      vi
Distance from river      192
Distance to random point      211
Distribution of numbers      214
Eddington      295
Edwards, A.W.F.      282
Einstein      255
Elementary problems      98
Elementary problems, table of      101
Enthalpy      252
Entropy, binary trials      267
Entropy, independent random variables      263
Entropy, infinite      269
Entropy, loss due to combining events      264
Entropy, properties of      262
Entropy, to first failure      268
Entropy, uniform distribution      261
enumerate      97 99 108
Event A precedes B      156
Expected value of products      67 69
Expected value of sums      68
Expected value, linear operator      69
Experiment on products distribution      243
Exponential approximation      58
Exponential bound      40
Exponential generating function      83
Fair games      103
Fair games, critique of      125 128
Falling factorial      30 44
Feller      vi 41 279 288 293
Fermi — Dirac statistics      62
Feynmann      302
Fibonacci numbers      164
Finite additivity      288
First occurence      145
Five methods of solution      97 102
Floppy discs      59
FOURIER      302
Frequency approach      6
Fuzzy probability      299
Galileo      60—61 255 328
Gambler's ruin      119
Game of dice      108
Gaussian distribution      284
Gaver, Don      ix
Generating function      50 78
Generating function, convolution of      81
Generating function, mean from      79
Generating function, variance from      79
Geometric probability distribution      146
Gibbs      255
Gibbs inequality      263 271
Gibbs, Good, I.J.      297
Gibbs, Gudder      3
H theorem      254
Hershel      209
Historical approach      97 99 112
Identical items      45—46
Inclusion-Exclusion Principle      136
Independence      12
Infinite entropy      269
information      256
Information theory      2
Information, no information      27
Information, representation of      91
Information, state of knowledge      31
Insurance      129
Interchangeable      9
Intuitionists      190
Invariance of the geometric distribution      152
Items in bins      53
Jayne's example      272 275
Kac, Mark      vi 254 288
Khinchin, A.I.      253
Knife edge trials      237
Kolmogorov      287—288
kronecker      190
Kullback      256
kurtosis      77
Lagrange multipliers      272
Least squares      284
Lebesgue integration      287
Legal system      4
Lewis Carroll      203
Limit theorems      307
Linear difference equations      185
LIST      8
Logic and probability      294
Logical probability      247
Lotteries      105
MacLennan, Bruce      ix
Mantissas      214
Marginal distributions      271
Matching pennies      103
Mathematical probability      245 287
Maximum entropy      253 266
Maximum entropy distributions      265
Maximum entropy principle      270
Maximum likelihood      282
Maximum likelihood, binary choice      283
Maximum likelihood, least squares      284
Maximum likelihood, scale free      285
Maxwell — Boltzmann distribution      62
Mean and variance of unit interval      198
Mean does not exist      289
Mechanical probability      236
Misprints      137
Mixtures      230
Models in general      4
Modular reduction      241 250
Monte Carlo      333
Monte Carlo binomial choice      148
Monte Carlo coin test      89
Monte Carlo six faces of a die      151 174
Multinomial coefficients      46
N biased coins      116
Natural variables      250
Newton      296
Noise      2
Noncountable      190
Normal distribution      208
Normal distribution to binomial distribution      319
Normal distribution, approximations by      317—318
Normal distribution, Hershel's derivation      209
Normal distribution, standard form      310
Normal distribution, table of      311
Normal distribution, two random samples from      212
Number of boys in a family      154
Obtuse random triangles      203
Occam's razor      5
Odds      6
Pairs of socks      121
Paradoxes      5 189
Paradoxes, Banach — Tarski      191
Paradoxes, Bertrand's      200
Paradoxes, Castle Point      181
Paradoxes, Saint Petersburg      180
Paradoxes, Skolem — Lohenheim      190
Paradoxes, Urn with white and black balls      182
Pascal's triangle      50
Pedagogy      viii 1
Peirce      41
permutations      43 115
Pinkham, Roger      viii
Poincare      239
Poisson distribution      228
Poisson distribution in time      231—232
Popper, Karl      5
Primas, Hans      v
Principle of indifference      247
Probability in science      300
Probability, measure of      9
Problem de recontre      123
Problem of points      113
Problem of points with bias      113
Product distribution      216
Product of numbers      216
Product space      12—13
Propensity      301
Quality control      281
quantum mechanics      2—3 301
Queuing theory      233
Quotient distribution      220
Raffles      105—106
Rand Tables      20
Random choice of angle      193
Random chord      200
Random distribution of chips      117
Random events in time      227
Random number generator      246
Random number generator for exponential distribution      335
Random number generator for Normal distribution      335
Random number generator for reciprocal distribution      336
Random point      189 205
Random times      226 323
Random triangles      203
Random triangles in a circle      329
Random variables      64 98 101 123
Random variables, method of      121
Randomness      20
Rational generating functions      177
Real number system      189 287
Reciprocal distribution      214 245
Reciprocal distribution, convergence to      222
Reciprocal distribution, persistence of      218
Reciprocal distribution, probability of a shift      219
Reciprocal distribution, test of      215
RECURSIVE      97 100 115
Riemann integral      191
Robustness      vii 240 280
Robustness birthday problem      130
Robustness elevator problem      131
Robustness mean      74
Robustness variance      75
Roulette wheel      240
Runs of heads      116
Sample space      8
Sampling with replacement      43
Sampling without replacement      43
Selection of N items      124
Shannon, Claude      255 257
Shannon, Claude, entropy      256
Shewness      77
Shifting, probability of      219
Simulation      vii 135 327
Simulation direct      330
Simulation thought      333
Single event model of probability      7
Sinusoidal motion      226
Six faces of a die      149 174
Skolem — Lohenhein paradox      190
State diagrams      159
Statistical approach      289
Statistical dynamics      254
Statistics      6 22 26 88
Stirling's approximation      39 100
Stirling's formula      39 52
Subjective probability      297
Sum of powers of the integers      70
Sum of three dice      111
Symmetry      9
The four liars      295
Thermodynamics      253
Three heads in a row      165 179
Total sample space      97—98 103
Transition equations      161
Trial      7
Tribus, Myron      255
TV program prize      31
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