Kernel based estimation of the distribution function for length biased data
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Altman N, Léger C (1995) Bandwidth selection for kernel distribution function estimation. J Stat Plan Inference 46:195–214
Azzalini A (1981) Estimation of a distribution function and quantiles by a kernel method. Biometrika 68(1):326–328
Ajami M, Fakoor V, Jomhoori S (2013) Some asymptotic results of kernel density estimator in length-biased sampling. J Sci Islam 24(1):55–62
Borrajo MI, González-Manteiga W, Martinez-Miranda MD (2017) Bandwidth Selection for kernel density estimation with length biased data. J Nonparametr Stat 29(3):636–638. https://doi.org/10.1080/10485252.2017.1339309
Chow YS, Teicher H (1997) Probability theory, independence, interchangeability, martingales, 3rd edn. Springer, Berlin
Cox DR (1969) Some sampling problems in technology. In: Johnson NL, Smith H (eds) New developments in survey sampling. Wiley, New York, pp 506–27
Del Río AQ, Estévez-Pŕez G (2012) Nonparametric kernel distribution function estimation with kerdiest: an R package for bandwidth choice and applications. J Stat Softw 50(8):1–21
Dutta S (2015) Local smoothing for kernel distribution function estimation. Commun Stat Simul Comput 44:878–891
Efromovich S (2018) Missing and modified data in nonparametric estimation, with R examples. Chapman & Hall, London
Falk FY (1983) Relative efficiency and deficiency of kernel type estimators of distribution functions. Stat Neerl 37(2):73–83
Gill RD, Vardi Y, Wellner JA (1988) Large sample theory of empirical distributions in biased sampling models. Ann Statist 16(3):1069–1112
Horváh L (1985) Estimation from a length-biased distribution. Stat Decis 3:91–113
Huang CY, Qin J (2011) Nonparametric estimation for length-biased and right-censored data. Biometrika 98(1):177–186
Liu R, Lijian Y (2008) Kernel estimation of multivariate cumulative distribution function. J Nonparametr Stat 20(8):661–677. https://doi.org/10.1080/10485250802326391
McFadden JA (1962) On the lengths of intervals in a stationary point process. J R Soc Ser B 24:364–382
Patil GP, Rao CR (1977) The weighted distributions: a survey of their applications. In: Krishnaiah PR (ed) Applications of statistics. North-Holland, Amsterdam, pp 383–405
Patil GP, Rao CR (1978) Weighted distributions and size-biased sampling with applications to wildlife populations and human families. Biometrics 34:179–189
Reiss RD (1981) Nonparametric estimation of smooth distribution functions. Scand J Stat 8(2):116–119
Swanepoel JWH, Graan FCV (2005) A new kernel distribution function estimator based on a non-parametric transformation of the data. Scand Stat Theory Appl 32(4):551–562