Suppose that one can observe bivariate random variables (X, Y) only when X<=Y holds. Data (Xj, Yj), subject to Xj<=Yj, for all j=1,...,n, are called truncated data. Parametric approach (Emura & Konno 2012 Stat Papers), semiparametric approach (Chaieb et al. 2006 Biometrika; Emura et al. 2011 Sinica; Emura and Murotani 2015 TEST), nonparametric maximum likelihood approach (Emura & Wang 2012 JMVA), and regression approach (Emura and Wang 2015 AISM) are implemented for statistical inference on (X, Y), when X and Y are dependent. Also included is truncated data on the number of deaths at each year (1963-1980) for Japanese male centenarians (Emura and Murotani 2015 TEST).

Suppose that one can observe bivariate random variables (X, Y) only when X<=Y holds. Data (Xj, Yj), subject to Xj<=Yj, for all j=1,...,n, are called truncated data. Parametric approach (Emura & Konno 2012 Stat Papers), semiparametric approach (Chaieb et al. 2006 Biometrika; Emura et al. 2011 Sinica; Emura & Murotani 2015 TEST), nonparametric maximum likelihood approach (Emura & Wang 2012 JMVA), and regression approach (Emura & Wang 2015 AISM) are implemented for statistical inference on (X, Y), when X and Y are dependent. Also included is truncated data on the number of deaths at each year (1963-1980) for Japanese male centenarians (Emura & Murotani 2015 TEST).

Suppose that one can observe bivariate random variables (X, Y) only when X<=Y holds. Data (Xj, Yj), subject to Xj<=Yj, for all j=1,...,n, are called truncated data. For truncated data, several different approaches are implemented for statistical inference on (X, Y), when X and Y are dependent. Also included is truncated data on the number of deaths at each year (1963-1980) for Japanese male centenarians.

Statistical Methods for the Analysis of Dependently Truncated
Data
Estimation and testing methods for dependently truncated data.
Semi-parametric methods are based on Emura et al. (2011)<Stat Sinica 21:349-67>, Emura & Wang (2012)<doi:10.1016/j.jmva.2012.03.012>,
and Emura & Murotani (2015)<doi:10.1007/s11749-015-0432-8>.
Parametric approaches are based on Emura & Konno (2012)<doi:10.1007/s00362-014-0626-2> and Emura & Pan (2017)<doi:10.1007/s00362-017-0947-z>.
A regression approach is based on Emura & Wang (2016)<doi:10.1007/s10463-015-0526-9>. Quasi-independence tests are based on Emura & Wang (2010)<doi:10.1016/j.jmva.2009.07.006>.
Right-truncated data for Japanese male centenarians are given by Emura & Murotani (2015)<doi:10.1007/s11749-015-0432-8>.