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Haight F.A. — Handbook of the Poisson Distribution
Haight F.A. — Handbook of the Poisson Distribution

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Название: Handbook of the Poisson Distribution

Автор: Haight F.A.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1967

Количество страниц: 168

Добавлена в каталог: 19.05.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
"Burnt fingers model"      63
"Gaussian law of error"      117
"Influence globale"      40
"Snap counts"      90
"Very rare" events      64
Accident proneness      40 104
Accidental telephone cut-offs      103
Accidents      103 104 116 121
Aged, number of deaths per day      102
Agricultural applications      100 101
Albinism      30
Analysis of variance      70 85
Animals, distribution of      100
Anthrax deaths per year      102
Apparent contagion      40
Approximation coefficient      13
Asymptotic normality of estimate      83 98
Asymptotic optimality      96
Asymptotically efficient estimate      92
Asynchronous counting      56 59
bacteria      101 102
Bateman's theoretical formula      120
Bayesian estimate      97
Beet leafhoppers      101
Beetle blood      102
Beetle larvae      101
Bessel function      12 41 43 74
Best asymptotically normal estimate      85 91
Best unbiased estimate      82
Bidders for a contract      104
Binomial limit      15—18 24
Binomial limit, original derivation      113 117 118
Biological applications      60 101 102
Blood cells      102 114 121
Breakdown of computers      100
Breaks in molecular chain      107
Broken segments model      22
Bullets hitting a target      106
Butterflies      101
Cancellation and contraction      80
Cancer deaths per house      102
Carcinogenesis      102
Card matching      22
Cars per mile, per unit time      106
Censoring      56 89 91
Centenarians, deaths per year      103
Chapman — Kolmogoroff equations      24
Chapman — Kolmogoroff equations, for particle counting      58
Chapman — Kolmogoroff equations, for stuttering Poisson      52
Characteristic function      8 13 44
Characteristic function, of amplitude of signal      78
Characteristic function, of Consael process      66
Characteristic function, of infinitely divisible distribution      33 65
Characteristic function, of mixing distribution      37
Characteristic function, of stuttering Poisson      53
Charlier polynomials      65
Charlier type B series      77 117
Chi-square minimum estimate      85
Chi-square test      94 95 103
Children per household      106
Claim, distribution of      49 50 73
Clover seed      101
Coal mine disasters      104
Collective risk theory      40 49—52 73
Collectively at random      52 55 104
comets      107
Commercial applications      104 105
Compounding      45
Confluent hypergeometric function      41 61
Contagion      40
Continuous analog      62 63
Convolution      1
Corn borers      101
Cornish — Fisher transformation      86
Cosmic radiation      107
Covariance      65
Cramer — Rao bound      82
Cramer's theorem      72
Cumulants      8
Cumulants, in collective risk theory      50
Cumulants, of differences of Poisson variables      74
Cumulants, of Poisson mixed      46
Cumulative probability      1
Cumulative probability, as incomplete gamma function      2
Defective items      100
Defective teeth      102
Defective thread, wire, rope      100
Demographic applications      105 106
Derivative of Poisson probability      4
Differences of variables      74 111 112
Differences of Zero      6
Dilution method      83 87 101
Diphtheria      103
Disputed authorship      107
Distance between events      26—28
Distribution, binomial      8 15 18 19 72 73 77 84 92 95 96 97 98 103 121
Distribution, binomial, asynchronous, synchronous      56 67
Distribution, binomial, counting      23
Distribution, binomial, elementary binomial      17
Distribution, binomial, estimation      92 93
Distribution, binomial, nonlattice      29
Distribution, bivariate mixed Poisson      66—68
Distribution, bivariate negative binomial      65
Distribution, bivariate Poisson      64 72
Distribution, bivariate Poisson, accidents      104
Distribution, causal      36 40
Distribution, chain Poisson      40
Distribution, chi-square      86 87 99
Distribution, compound      36
Distribution, compound Poisson      45
Distribution, contagious      48
Distribution, continuous Poisson      62 63
Distribution, displaced Poisson      63 93
Distribution, double      36
Distribution, double Poisson      41
Distribution, doubly truncated      32
Distribution, exponential type      8
Distribution, extended hypergeometric      18
Distribution, extreme value      43
Distribution, Fisher's logarithmic series      45 54
Distribution, gamma      39 86
Distribution, Gaussian      75
Distribution, generalized      36
Distribution, generalized Poisson      45 62 106
Distribution, geometric      45 53
Distribution, Gumbel      43
Distribution, Hermite      46 65
Distribution, Hermite, estimation      93
Distribution, Hofmann      48
Distribution, hyper Poisson      61
Distribution, hypergeometric      18
Distribution, infinitely divisible      33 65
Distribution, Laplace      28
Distribution, lattice      29
Distribution, Lexian      19
Distribution, matching      19 95
Distribution, mixed      36 72
Distribution, mixed Poisson      36 54 65 73
Distribution, mixed Poisson, accidents      104
Distribution, mixed Poisson, estimation      93
Distribution, mixed Poisson, factorial moment      36
Distribution, mixed, generating function      37
Distribution, mixing      36
Distribution, mixing, characteristic function      37
Distribution, multinomial      46 71
Distribution, multinormal      34
Distribution, multiply truncated Poisson      91
Distribution, multivariate negative binomial      65
Distribution, multivariate Poisson      45 64—66
Distribution, negative binomial      39 42 45 47 54 67 93 95 106 121 122
Distribution, negative exponential      26 27 29 43 51 56 57 78 79 95 97 119
Distribution, Neyman's type A      18 40 47 54 67 93 106
Distribution, Neyman's type B      47
Distribution, Neyman's type C      47
Distribution, noncentral chi-square      75
Distribution, normal      33 34 69—71 73 85 114 115 117 119 121 122
Distribution, Pearson type I      41
Distribution, Pearson type III      39 43 45 50 51 56 57 65 71 86 97 104 116
Distribution, Pearson type V      42
Distribution, Pearson type VI      42
Distribution, Poisson binomial      46 111
Distribution, Poisson doubly truncated      91
Distribution, Poisson median      75
Distribution, Poisson par grappes      52—55
Distribution, Poisson Pascal      47
Distribution, Poisson reciprocal      76
Distribution, Poisson — Lexian      19
Distribution, Polya — Eggenberger      39 95
Distribution, power series      8 41 64 72 87
Distribution, power series, estimation      93
Distribution, purely Poisson type      34 72
Distribution, quasi-Poisson      55
Distribution, ratio of Poisson variables      76
Distribution, rectangular      43 80 83 86 95 110
Distribution, recurrence time      79
Distribution, stuttering Poisson      52—55 61 104
Distribution, sub-Poisson      61 64
Distribution, super-Poisson      61 64
Distribution, truncated Poisson      30—32 54 61 63 72 76
Distribution, truncated Poisson, estimation      87—90 111
Distribution, truncated Poisson, testing      95
Dodder seeds      101
Domain of attraction      35
Domain of definition      1
Domination of one distribution by another      71
Double connections      103
Dummy variable      1
Dust particles      107
Earthquakes      107
Ecology      47 100 101
Efficiency of estimate      82
Enteric fever deaths      121
entropy      29
Eosinophil cells      102
Erlang process      56 57
Erlang's loss formula      31 103 105 109 123
Erroneous counts      60
Errors of first and second kind      97
F test      111
Factorial moment      8
Factorial moment generating function      13 44
Factorial moment generating function, bivariate      65
Factorial moment, of mixed Poisson      36
Factorial moment, of multivariate Poisson      64
Fertility      60
Fire      107
Fish, number caught      101
Flaws in capacitors      100
Flaws in capacitors, in glass rods      100
Floods      107
Flower petals      101
Flying bombs      106
Focal lesions      102
Frequency of war      107
Fruit flies      101
Gall-fly eggs      101
Gaps, distribution of      26—28 55 57 58 59
Gas molecules      121
Geiger — Muller counter      57
Generating function      2 13 14 44
Generating function, of bivariate      65
Generating function, of Consael process      66
Generating function, of hyper-Poisson      61
Generating function, of mixed distribution      37
Generating function, of Neyman types      47
Genetic defect      30
Gini controversy      118 119
Goodness of fit tests      94 95
Group size      53 54 105
Hermite polynomials      46
Horse-kick      115 116
Hospital beds      105
Identifiability      93
Incomplete moments      9—11
Index of dispersion      94 112
Individually at random      52
Industrial applications      100
Information theory      96
Input to a dam      107
Insurance claims      44 49
Intensity function      38
Intensity function, for Consael process      66
Intensity function, for Erlang process      56
Intensity function, for Polya process      39
Interval estimation      85—87
Inventory theory      104
Inverse method      83 86
Kurtosis of Poisson — Pascal      47
Kurtosis of Poisson — Pascal, of mixtures      48
Lagrange series      87
Laguerre polynomial      54
Laplace transformation      14 44 45 58 59
Law of Large Numbers      114 119
Law of rare events      24
Law of small numbers      118 119
Least squares estimate      82
Length of shadows      107
Levy — Khintchine Theorem      33 119
Lexian ratio      116 119 121
Light bulb lifetime      44
Lightning bolt      44
Likelihood ratio test      95
Linear combination of Poisson variables      33—35 73
Locational entropy      29
Logarithmic transformation      98
Lost and found advertisements      107
Machine maintenance      100 105
Mailing letters      52 61
Malaria deaths per year      102
Malaria deaths per year, attacks per individual      121
Markov chain      93
Mass production      105
Maximum disorder process      28 29
Maximum likelihood estimate      82 85 87 88 89 90 91 93 95 99 110
Maximum of n gaps      27
Mean      2
Mean deviation      11
Mean difference      12 109
Median      12
Medical applications      102 103
Military applications      106 107
Minimax estimate      83
Minimax test      96 98
Minimum of n gaps      27
Minimum variance unbiased estimate      84 93 110
Misprints      107
Mixed Poisson distribution      35—39
Mixed Poisson distribution, process      79—81
Mixed strategy      97
MODE      12
Molecular chain      107
Moment about the mean      2 7
Moment about the mean, of Poisson mixed      46
Moment about the origin      2 5 6 8
Moment about the origin, of Poisson mixed      46
Moment-generating function      7 13 74
Moments estimate      82 87 89 92 93
Multiple regression      85
Mutants      102
Neural impulses      102
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