Some Asymptotic Properties of Conditional Density Function for Functional Data Under Random Censorship

被引：0

作者：

Akkal, Fatima ^{[1
]}

Rabhi, Abbes ^{[2
]}

Keddani, Latifa ^{[3
]}

机构：

[1] Univ Djillali LIABES Sidi Bel Abbes, Stat & Stochast Proc Lab, POB 89, Sidi Bel Abbes 22000, Algeria

[2] Univ Djillali LIABES Sidi Bel Abbes, POB 89, Sidi Bel Abbes 22000, Algeria

[3] Moulay Tahar Univ Saida, Stochast Models Stat & Applicat Lab, POB 138 En Nasr Saida 20 000, Saida, Algeria

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2021年 / 16卷 / 01期

关键词：

Asymptotic normality; Censored data; Conditional mode; Ergodic processes functional data; Strong consistency; NONPARAMETRIC-ESTIMATION; REGRESSION ESTIMATION; QUANTILE REGRESSION; SURVIVAL FUNCTION; MODE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate the asymptotic properties of a nonparametric mode of a conditional density when the real response variable is censored and the explanatory variable is valued in a semimetric space under ergodic data. First of all, we establish asymptotic properties for a conditional density estimator from which we derive an central limit theorem (CLT) of the conditional mode estimator. Simulation study is also presented to illustrate the validity and finite sample performance of the considered estimator.

引用

页码：12 / 42

页数：31

共 50 条

[1] Some asymptotic properties for a smooth kernel estimator of the conditional mode under random censorship
Khardani, Salah
Lemdani, Mohamed
Said, Elias Ould
[J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2010, 39 (04) : 455 - 469
[2] Some asymptotic properties for a smooth kernel estimator of the conditional mode under random censorship
Salah Khardani
Mohamed Lemdani
Elias Ould Saïd
[J]. Journal of the Korean Statistical Society, 2010, 39 : 455 - 469
[3] ASYMPTOTIC NORMALITY OF THE NONPARAMETRIC CONDITIONAL QUANTILE UNDER CENSORSHIP FOR DEPENDENT FUNCTIONAL DATA
El Bahi, Mostefa
[J]. ADVANCES AND APPLICATIONS IN STATISTICS, 2011, 23 (02) : 107 - 134
[4] Strong consistency of local linear estimation of a conditional density function under random censorship
Benkhaled, Abdelkader
Madam, Fethi
Khardani, Salah
[J]. ARABIAN JOURNAL OF MATHEMATICS, 2020, 9 (03) : 513 - 529
[5] Strong consistency of local linear estimation of a conditional density function under random censorship
Abdelkader Benkhaled
Fethi Madani
Salah Khardani
[J]. Arabian Journal of Mathematics, 2020, 9 : 513 - 529
[6] STRONG UNIFORM CONSISTENCY RATES OF CONDITIONAL DENSITY ESTIMATION IN THE SINGLE FUNCTIONAL INDEX MODEL FOR FUNCTIONAL DATA UNDER RANDOM CENSORSHIP
Kadiri, Nadia
Meghnafi, Mustapha
Rabhi, Abbes
[J]. REVSTAT-STATISTICAL JOURNAL, 2022, 20 (02) : 221 - 249
[7] Smooth conditional distribution function and quantiles under random censorship
Leconte, E
Poiraud-Casanova, S
Thomas-Agnan, C
[J]. LIFETIME DATA ANALYSIS, 2002, 8 (03) : 229 - 246
[8] Smooth Conditional Distribution Function and Quantiles under Random Censorship
Eve Leconte
Sandrine Poiraud-Casanova
Christine Thomas-Agnan
[J]. Lifetime Data Analysis, 2002, 8 : 229 - 246
[9] Semi-recursive kernel conditional density estimators under random censorship and dependent data
Laksaci, Ali
Khardani, Salah
Semmar, Sihem
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (07) : 2116 - 2138
[10] ASYMPTOTIC PROPERTIES OF THE SEMI-PARAMETRIC ESTIMATORS OF THE CONDITIONAL DENSITY FOR FUNCTIONAL DATA IN THE SINGLE INDEX MODEL WITH MISSING DATA AT RANDOM
Mekki, Sanaa Dounya
Kadiri, Nadia
Rabhi, Abbes
[J]. STATISTICA, 2021, 81 (04): : 399 - 422

← 1 2 3 4 5 →