Linear wavelet-based estimation for derivative of a density under random censorship

Yogendra P. Chaubey; Hassan Doosti; Esmaeel Shirazi; B. L. S. Prakasa Rao

Linear wavelet-based estimation for derivative of a density under random censorship

Yogendra P. Chaubey, Hassan Doosti, Esmaeel Shirazi, B. L. S. Prakasa Rao

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we consider estimation of the derivative of a density based on wavelets methods using randomly right censored data. We extend the results regarding the asymptotic convergence rates due to Prakasa Rao (1996) and Chaubey et al. (2008) under random censorship model. Our treatment is facilitated by results of Stute (1995) and Li (2003) that enable us in demonstrating that the same convergence rates are achieved as in Prakasa Rao (1996) and Chaubey et al. (2008).

Original language	English
Pages (from-to)	41-51
Number of pages	11
Journal	Journal of the Iranian Statistical Society
Volume	9
Issue number	1
Publication status	Published - Mar 2010
Externally published	Yes

Keywords

Besove space
censored data
nonparametric estimation of derivative of a density
wavelets

Cite this

@article{c7d15a62c0be4e31884a8f5e4d4183ef,

title = "Linear wavelet-based estimation for derivative of a density under random censorship",

abstract = "In this paper we consider estimation of the derivative of a density based on wavelets methods using randomly right censored data. We extend the results regarding the asymptotic convergence rates due to Prakasa Rao (1996) and Chaubey et al. (2008) under random censorship model. Our treatment is facilitated by results of Stute (1995) and Li (2003) that enable us in demonstrating that the same convergence rates are achieved as in Prakasa Rao (1996) and Chaubey et al. (2008).",

keywords = "Besove space, censored data, nonparametric estimation of derivative of a density, wavelets",

author = "Chaubey, {Yogendra P.} and Hassan Doosti and Esmaeel Shirazi and Rao, {B. L. S. Prakasa}",

year = "2010",

month = mar,

language = "English",

volume = "9",

pages = "41--51",

journal = "Journal of the Iranian Statistical Society",

issn = "1726-4057",

publisher = "IRANIAN STATISTICAL SOC",

number = "1",

}

TY - JOUR

T1 - Linear wavelet-based estimation for derivative of a density under random censorship

AU - Chaubey, Yogendra P.

AU - Doosti, Hassan

AU - Shirazi, Esmaeel

AU - Rao, B. L. S. Prakasa

PY - 2010/3

Y1 - 2010/3

N2 - In this paper we consider estimation of the derivative of a density based on wavelets methods using randomly right censored data. We extend the results regarding the asymptotic convergence rates due to Prakasa Rao (1996) and Chaubey et al. (2008) under random censorship model. Our treatment is facilitated by results of Stute (1995) and Li (2003) that enable us in demonstrating that the same convergence rates are achieved as in Prakasa Rao (1996) and Chaubey et al. (2008).

AB - In this paper we consider estimation of the derivative of a density based on wavelets methods using randomly right censored data. We extend the results regarding the asymptotic convergence rates due to Prakasa Rao (1996) and Chaubey et al. (2008) under random censorship model. Our treatment is facilitated by results of Stute (1995) and Li (2003) that enable us in demonstrating that the same convergence rates are achieved as in Prakasa Rao (1996) and Chaubey et al. (2008).

KW - Besove space

KW - censored data

KW - nonparametric estimation of derivative of a density

KW - wavelets

M3 - Article

SN - 1726-4057

VL - 9

SP - 41

EP - 51

JO - Journal of the Iranian Statistical Society

JF - Journal of the Iranian Statistical Society

IS - 1

ER -

Linear wavelet-based estimation for derivative of a density under random censorship

Abstract

Keywords

Fingerprint

Cite this