Abstract
Several models involving multiple samples based on progressively Type-II censored data are discussed. The presentation includes competing risk models, joint progressive censoring, concomitants, and progressively censored systems data.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ahmadi MV, Doostparast M, Ahmadi J (2013) Estimating the lifetime performance index with Weibull distribution based on progressive first-failure censoring scheme. J Comput Appl Math 239:93–102
Asgharzadeh A (2009) Approximate MLE for the scaled generalized exponential distribution under progressive type-II censoring. J Korean Stat Soc 38:223–229
Bairamov I, Eryılmaz S (2006) Spacings, exceedances and concomitants in progressive Type II censoring scheme. J Stat Plan Infer 136:527–536
Balakrishnan N, Kim JA (2005a) EM algorithm and optimal censoring schemes for progressively Type-II censored bivariate normal data. In: Balakrishnan N, Nagaraja HN, Kannan N (eds) Advances in ranking and selection, multiple comparisons, and reliability. Birkhäuser, Boston, pp 21–45
Balakrishnan N, Rasouli A (2008) Exact likelihood inference for two exponential populations under joint Type-II censoring. Comput Stat Data Anal 52:2725–2738
Beg MI, Ahsanullah M (2008) Concomitants of generalized order statistics from Farlie-Gumbel-Morgenstern distributions. Stat Meth 5:1–20
Bhattacharya PK (1974) Convergence of sample paths of normalized sums of induced order statistics. Ann Stat 2:1034–1039
Bhattacharya PK (1984) Induced order statistics: theory and applications. In: Krishnaiah PR, Sen PK (eds) Nonparametric methods. Handbook of statistics, vol 4. Elsevier, Amsterdam, pp 383–403
Bryson MC (1974) Heavy-tailed distributions: properties and tests. Technometrics 16:61–68
Cramer E, Schmiedt AB (2011) Progressively Type-II censored competing risks data from Lomax distributions. Comput Stat Data Anal 55:1285–1303
Crowder MJ (2001) Classical competing risks. Chapman & Hall/CRC, Boca Raton
David HA (1973) Concomitants of order statistics. Bull Inter Stat Inst 45:295–300
David HA, Nagaraja HN (1998) Concomitants of order statistics. In: Balakrishnan N, Rao CR (eds) Handbook of statistics: order statistics: theory and methods, vol 16. Elsevier, Amsterdam, pp 487–513
David HA, Nagaraja HN (2003) Order statistics, 3rd edn. Wiley, Hoboken
Hoel DG (1972) A representation of mortality data by competing risks. Biometrics 28: 475–488
Hong CW, Lee WC, Wu JW (2012) Computational procedure of performance assessment of lifetime index of products for the Weibull distribution with the progressive first-failure-censored sampling plan. J Appl Math 2012:13
Izadi M, Khaledi BE (2007) Progressive Type II censored order statistics and their concomitants: some stochastic comparisons results. J Iran Stat Soc (JIRSS) 6:111–124
Kozubowski TJ, Panorska AK, Qeadan F, Gershunov A, Rominger D (2009) Testing exponentiality versus Pareto distribution via likelihood ratio. Comm Stat Simul Comput 38:118–139
Kundu D, Pradhan B (2011) Bayesian analysis of progressively censored competing risks data. Sankhyā Ser B 73:276–296
Kundu D, Kannan N, Balakrishnan N (2004) Analysis of progressively censored competing risks data. In: Balakrishnan N, Rao CR (eds) Advances in survival analysis. Handbook of statistics, vol 23. Elsevier, Amsterdam, pp 331–348
Lio YL, Tsai TR (2012) Estimation of \(\delta = P(X < Y )\) for Burr XII distribution based on the progressively first failure-censored samples. J Appl Stat 39:309–322
Mahmoud MAW, Soliman AA, Ellah AHA, El-Sagheer RM (2013) Bayesian estimation using MCMC approach based on progressive first-failure censoring from generalized Pareto distribution. Am J Theor Appl Stat 2:128–141
Pareek B, Kundu D, Kumar S (2009) On progressively censored competing risks data for Weibull distributions. Comput Stat Data Anal 53:4083–4094
Parsi S, Ganjali M, Farsipour NS (2011) Conditional maximum likelihood and interval estimation for two Weibull populations under joint Type-II progressive censoring. Comm Stat Theory Meth 40:2117–2135
Pintilie M (2006) Competing risks: a practical perspective. Wiley, Hoboken
Potdar KG, Shirke DT (2014) Inference for the scale parameter of lifetime distribution of k-unit parallel system based on progressively censored data. J Stat Comput Simul 84:171–185
Pradhan B (2007) Point and interval estimation for the lifetime distribution of a k-unit parallel system based on progressively Type-II censored data. Econom Qual Control 22:175–186
Proschan F (1963) Theoretical explanation of observed decreasing failure rate. Technometrics 5:375–383
Rasouli A, Balakrishnan N (2010) Exact likelihood inference for two exponential populations under joint progressive Type-II censoring. Comm Stat Theory Meth 39:2172–2191
Soliman AA, Abd Ellah AH, Abou-Elheggag NA, Abd-Elmougod GA (2011a) A simulation-based approach to the study of coefficient of variation of Gompertz distribution under progressive first-failure censoring. Indian J Pure Appl Math 42:335–356
Soliman AA, Ellah A, Abou-Elheggag NA, Modhesh AA (2011b) Bayesian inference and prediction of Burr Type XII distribution for progressive first failure censored sampling. Intell Inform Manag 3:175–185
Soliman AA, Abd-Ellah AH, Abou-Elheggag NA, Abd-Elmougod GA (2012a) Estimation of the parameters of life for Gompertz distribution using progressive first-failure censored data. Comput Stat Data Anal 56:2471–2485
Soliman AA, Abd Ellah AH, Abou-Elheggag NA, Modhesh AA (2013) Estimation from Burr type XII distribution using progressive first-failure censored data. J Stat Comput Simul 83:2270–2290
Tsiatis A (1975) A nonidentifiability aspect of the problem of competing risks. Proc Natl Acad Sci USA 72:20–22
Wang L, Shi Y (2012) Reliability analysis based on progressively first-failure-censored samples for the proportional hazard rate model. Math Comput Simul 82:1383–1395
Wu SJ, Huang SR (2012) Progressively first-failure censored reliability sampling plans with cost constraint. Comput Stat Data Anal 56:2018–2030
Wu SJ, Kuş C (2009) On estimation based on progressive first-failure-censored sampling. Comput Stat Data Anal 53:3659–3670
Wu SJ, Chang CT, Tsai TR (2003) Point and interval estimations for the Gompertz distribution under progressive type-II censoring. Metron 61(3):403–418
Yang SS (1977) General distribution theory of the concomitants of order statistics. Ann Stat 5:996–1002
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this chapter
Cite this chapter
Balakrishnan, N., Cramer, E. (2014). Multi-sample Models. In: The Art of Progressive Censoring. Statistics for Industry and Technology. Birkhäuser, New York, NY. https://doi.org/10.1007/978-0-8176-4807-7_25
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4807-7_25
Published:
Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-0-8176-4806-0
Online ISBN: 978-0-8176-4807-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)