METHODS FOR THE ANALYSIS AND PREDICTION OF WARRANTY CLAIMS

被引:95
作者
KALBFLEISCH, JD [1 ]
LAWLESS, JF [1 ]
ROBINSON, JA [1 ]
机构
[1] GM CORP,RES LABS,DEPT MATH,WARREN,MI 48090
关键词
FIELD RELIABILITY; LOG-LINEAR POISSON MODELS; REPORTING LAGS; WARRANTY DATA;
D O I
10.2307/1268780
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 [统计学]; 070103 [概率论与数理统计]; 0714 [统计学];
摘要
This article discusses methods whereby reports of warranty claims can be used to estimate the expected number of warranty claims per unit in service as a function of the time in service. These methods provide estimates that are adjusted for delays or lags corresponding to the time from the claim until it is entered into the data base used for analysis. Forecasts of the number and cost of claims on the population of all units in service are also developed, along with standard errors for these forecasts. The methods are based on a log-linear Poisson model for numbers of warranty claims. Both the case of a known distribution of reporting lag and simultaneous estimation of that distribution are considered. The use of residuals for model checking, extensions to allow for extra-Poisson variation, and the estimation of warranty costs are also considered.
引用
收藏
页码:273 / 285
页数:13
相关论文
共 17 条
[1]
ASCHER H, 1978, 1978 P ANN REL MAINT, P190
[2]
Cox D. R., 1980, POINT PROCESSES
[3]
MAXIMUM LIKELIHOOD FROM INCOMPLETE DATA VIA EM ALGORITHM [J].
DEMPSTER, AP ;
LAIRD, NM ;
RUBIN, DB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (01) :1-38
[4]
ESTIMATION OF RELIABILITY IN FIELD-PERFORMANCE STUDIES [J].
KALBFLEISCH, JD ;
LAWLESS, JF .
TECHNOMETRICS, 1988, 30 (04) :365-378
[5]
INFERENCE BASED ON RETROSPECTIVE ASCERTAINMENT - AN ANALYSIS OF THE DATA ON TRANSFUSION-RELATED AIDS [J].
KALBFLEISCH, JD ;
LAWLESS, JF .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1989, 84 (406) :360-372
[6]
ESTIMATING THE INCUBATION-TIME DISTRIBUTION AND EXPECTED NUMBER OF CASES OF TRANSFUSION-ASSOCIATED ACQUIRED IMMUNE-DEFICIENCY SYNDROME [J].
KALBFLEISCH, JD ;
LAWLESS, JF .
TRANSFUSION, 1989, 29 (08) :672-676
[7]
KALBFLEISCH JD, 1991, STATISTICA FINICA, V1, P1932
[9]
RANDOM TRUNCATION MODELS AND MARKOV-PROCESSES [J].
KEIDING, N ;
GILL, RD .
ANNALS OF STATISTICS, 1990, 18 (02) :582-602
[10]
NONPARAMETRIC ANALYSIS OF TRUNCATED SURVIVAL-DATA, WITH APPLICATION TO AIDS [J].
LAGAKOS, SW ;
BARRAJ, LM ;
DEGRUTTOLA, V .
BIOMETRIKA, 1988, 75 (03) :515-523