Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Nelson W.B. — Recurrent events data analysis for product repairs, disease recurrences, and other applications
Nelson W.B. — Recurrent events data analysis for product repairs, disease recurrences, and other applications



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Recurrent events data analysis for product repairs, disease recurrences, and other applications

Автор: Nelson W.B.

Аннотация:

Survival data consist of a single event for each population unit, namely, end of life, which is modeled with a life distribution. In contrast, many applications involve repeated-events data, where a unit may accumulate any number of events over time. Examples include the number and cost of repairs of products, the number and treatment costs of recurrent disease episodes in patients, and the number of childbirths to statisticians. This applied book provides practitioners with basic nonparametric methods for such data, particularly the plot of the estimate of the population mean cumulative function (MCF), which yields most of the information sought.

Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications is the first book to present a simple, unified theory that includes data on costs or other "values" of discrete events, not just the number of events. It surveys computer programs that calculate and plot the MCF estimate with confidence limits, shows their output, and explains how to interpret such plots. Many such calculations can be easily done with a pocket calculator or spreadsheet program. Also, the book introduces basic Poisson and Cox regression models and parametric models, including homogeneous and nonhomogeneous Poisson processes and renewal processes.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 164

Добавлена в каталог: 21.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Hypothesis test, difference of two MCFs      112
Increment, MCF      38
Increment, observed      81
Incremental costs, bivariate population      74
Incremental costs, sample      74
Incremental mean number      46
Incremental recurrence cost      69
Increments, integer      24
Increments, negative      24
Independent increments      33 54 74 84 86 133
Independent increments, hypothesis test for      74
Independent increments, nonhomogeneous Poisson process      129
Independent increments, often not valid      128
Infant mortality      29 40
Information sought      28—33
Intensity function      26 see
Interarrival times      2
Interarrival times, Poisson process      124
Internet shopping      32
Interval age data      79—95
Interval age data, common      80
Interval age data, common set      83
Interval age data, differing      80
Interval age data, treated as exact      41
Interval, endpoints      83
Interval, last      86
Issues, practical and theoretical      51—54 107—108
Jackknife      75
JMP      7 40 64 112 132 133
Laplace transformation      131
Least squares      40
Like-new condition      54
Like-old condition      54
Longitudinal analysis      133
Longitudinal data      133
Maintenance      34
maintenance, planning      126
Maintenance, preventative replacement      132
Marked point processes      10
Markov, chains      133
Markov, process      133
MCF estimate      28
MCF estimate at a specified age      40
MCF estimate for a group of events      103—105
MCF estimate for a single type of event      102
MCF estimate for cost      43—46
MCF estimate for number      37—43
MCF estimate for remaining types of events      106
MCF estimate for value      43
MCF estimate with events eliminated      105—107
MCF estimate, all events      100—102
MCF estimate, assumptions      51 70
MCF estimate, assumptions interval data      82
MCF estimate, biased      52 82
MCF estimate, common      115
MCF estimate, comparisons      109 see
MCF estimate, continuous history      49—51
MCF estimate, curve      40 47 81
MCF estimate, design life      5
MCF estimate, difference of two      110
MCF estimate, events combined      103—105
MCF estimate, exact age data      35—58
MCF estimate, formula      69
MCF estimate, gaps      46—49
MCF estimate, interval age data      79—83
MCF estimate, Lawless — Nadeau variance      64
MCF estimate, left censoring      46
MCF estimate, line segments      81 101
MCF estimate, motivation      36
MCF estimate, naive variance estimate      65
MCF estimate, nonparametric      38 40
MCF estimate, not assumed      53
MCF estimate, percentage      100
MCF estimate, plotted points      82
MCF estimate, pooled      91 115
MCF estimate, sampling distribution      70
MCF estimate, staircase      40 47
MCF estimate, steps      38 43 46
MCF estimate, straight line segments      80
MCF estimate, theoretical variance      73
MCF estimate, theory      51
MCF estimate, true naive variance      65
MCF estimate, true variance      60 71
MCF estimate, unbiased      40 53
MCF estimate, variance      70
MCF estimate, variance estimate      60 64 73
MCF estimate, variance for interval data      84
MCF estimate, warranty      95
MCF for a type of event      99
MCF, add types      99
MCF, confidence limits      59—77
MCF, definition      26
MCF, difference of two      110
MCF, finite      53
MCF, K samples      115
MCF, K-variate      99
MCF, linear      42
MCF, mean curve      26
MCF, nonhomogeneous Poisson process      128
MCF, nonparametric      132
MCF, parametric      54
MCF, percentage      46
MCF, Poisson process      122
MCF, power process      129
MCF, sample      38 see
MCF, ultimate      31 80
MCFDIFF      112
MCFLIM      40 64
Mean cost per unit      43
Mean cumulative function      see "MCF"
Mean curve      26 51
Mean curve, K-variate      99
Mean number      38
Mean Time Between Failures      56 124
Mean time between recurrences      42
Menopause      81
MIL-HDBK-781      130
Mileage      4 93
Mileage, customer      4
Mileage, test      4
Mileage, versus days      94
Mixture      54
Model with covariates      132—133
Model, choice of      121
Model, counting process      121
Model, Cox      132
Model, Crow-AMSAA      129
Model, growth      134
Model, Markov      133
Model, mix of events      98—100
Model, nonparametric      25
Model, other      133—134
Model, parametric      35 121 133
Model, Poisson process      122—124
Model, population      25—28
Model, series-system      108
Model, single unit      133
MTBF      124
Naive confidence limits      64—68
Naive confidence limits for cost      65
Naive confidence limits for number      64
Naive confidence limits, calculation      67
Naive confidence limits, limitations      64
Naive confidence limits, not for cost      64
Naive confidence limits, steps      67
Nonhomogeneous Poisson process      65 86 127—130
Nonhomogeneous Poisson process, definition      128
Nonhomogeneous Poisson process, depicted      128
Nonhomogeneous Poisson process, estimate      128
Nonhomogeneous Poisson process, MCF      128
Nonhomogeneous Poisson process, naive confidence limits      128
Nonhomogeneous Poisson process, parametric MCF      128
Nonhomogeneous Poisson process, recurrence rate      128
Nonhomogeneous Poisson process, variance      129
Number at risk      38 43 46
Number at risk, approximate      81
Number entering      81
Overhaul      33
Parametric models      54
Patient losses      53
Permutation tests      115
Placebo treatment      5 55
plot      110
Plot, accuracy      42
Plot, advantages      35
Plot, combined      105
Plot, comparison      110 112
Plot, disadvantages      35
Plot, Duane      130
Plot, enhanced      101
Plot, hazard      38
Plot, linear grid      47
Plot, log-log      43 47 87 95 129 130
Plot, point per interval      82
Plot, point per recurrence      82
Plot, reliability growth      130
Poisson distribution      122
Poisson distribution, analysis      124—126
Poisson distribution, confidence limits for A      125
Poisson distribution, cumulative distribution function (cdf)      124
Poisson distribution, density function      122
Poisson distribution, estimate common $\lambda$      126
Poisson distribution, mean      122
Poisson distribution, multisample analyses      126—127
Poisson distribution, normal approximation      124
Poisson distribution, pooled $\lambda$ estimate      126
Poisson distribution, pooled rate variance      127
Poisson distribution, prediction for a count      125
Poisson distribution, prediction limits      126
Poisson distribution, probability density      122
Poisson distribution, regression fitting      132
Poisson distribution, regression model      132
Poisson distribution, standard deviation      124
Poisson distribution, statistically independent counts      126
Poisson distribution, variance      124
Poisson process      54 121—127
Poisson process, confidence limits      125
Poisson process, definition      122
Poisson process, estimate      124
Poisson process, homogeneous      128
Poisson process, interarrival times      124
Poisson process, MCF      122
Poisson process, mixture      33 75
Poisson process, model      122—124
Poisson process, pooled estimate      125
Poisson process, Proschan data      33
Poisson process, recurrence rate      122 123
Poisson process, recurrence rate, estimate $\lambda$      124
Poisson process, renewal      131
Poisson process, sample recurrence rate      124
Poisson process, single-sample analyses      124—126
Poisson process, sum of counts      124
Population      19
Population, bivariate      73
Population, cumulative history function      23—25
Population, finite      53
Population, infinite      71
Population, mixture      75
Population, model      23—34
Population, stratified      76
Population, target      19 26 70
Power law      129
Power process, definition      129
Power process, MCF      129
Power process, Poisson process is a special case      129
Power process, recurrence rate      129
Power relationship      129
Practical issues      18—21
Prediction      31 54 125
Prediction limits      54 91
Prediction limits, approximate      126
Prediction limits, Poisson      126
Prediction, error      125
Prediction, variance      125
probability density      28
Process, counting      2 128
Process, independent increments      86
Proschan data      see "Application Proschan"
R/100      5
Random sampling, simple      70
Recurrence rate for group of events      99
Recurrence rate for types of events      99
Recurrence rate, add types      99
Recurrence rate, bathtub      29
Recurrence rate, behavior      28 40
Recurrence rate, constant      27 42 83 132
Recurrence rate, decreasing      27
Recurrence rate, definition      26
Recurrence rate, estimate      40
Recurrence rate, increasing      27
Recurrence rate, nonhomogeneous Poisson process      128
Recurrence rate, Poisson process      122
Recurrence rate, power process      129
Recurrences      see "Events"
references      137—142
Regression, Cox      132
Regression, parametric      132
Regression, Poisson      132
Related topics      121—135
Relationship, log-linear      132
Reliability, demonstration      97
Reliability, growth      129 130
Reliability, growth confidence limits      130
Reliability, growth prediction      130
Reliability, growth prediction limits      130
Reliability, growth rate      130
Reliability, growth, ReliaSoft      130
Reliability, growth, WinSMITH      130
Reliability, improvement      129
Reliability, Procedure      86
ReliaSoft      40 64 86 112 130
Renewal process      48 54 130—132
Renewal process, cdf estimate      131
Renewal process, definition      130
Renewal process, equation      131
Renewal process, function      130
Renewal process, MCF properties      131
Renewal process, Poisson      131
Renewal process, recurrence rate      131
Renewal process, Weibull      131
Repair, definition      19
replacement      19
Replacement rates      87
Replacement, optimum age      132
Replacement, preventive      132
Reporting delays      53 91
Resampling      75
Resampling limits      75
Retirement      32
Retirement, optimum age      32
S-Plus      40 64 112 133
Sample      36
Sample MCF      38 see
Sample of units      133
Sample size      35
Sample, biased      21 52
Sample, nonrandom      19 90
Sample, random      19 51
Sample, self-selected      52 90
Sample, simple random      51 71
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2025
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте