跳至主要内容

Hazard Rate Function Estimation Using Weibull Kernel

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50252#.VDNPhFfHRK0

In this paper, we define the Weibull kernel and use it to nonparametric estimation of the probability density function (pdf) and the hazard rate function for independent and identically distributed (iid) data. The bias, variance and the optimal bandwidth of the proposed estimator are investigated. Moreover, the asymptotic normality of the proposed estimator is investigated. The performance of the proposed estimator is tested using simulation study and real data.
Cite this paper
Salha, R. , El Shekh Ahmed, H. and Alhoubi, I. (2014) Hazard Rate Function Estimation Using Weibull Kernel. Open Journal of Statistics, 4, 650-661. doi: 10.4236/ojs.2014.48061. 
 

[1] Salha, R. (2012) Hazard Rate Function Estimation Using Inverse Gaussian Kernel. The Islamic University of Gaza Journal of Natural and Engineering Studies, 20, 73-84.
[2] Salha, R. (2013) Estimating the Density and Hazard Rate Functions Using the Reciprocal Inverse Gaussian Kernel. 15th Applied Stochastic Models and Data Analysis International Conference, Mataro (Barcelona), 25-28 June 2013.
[3] Scaillet, O. (2004) Density Estimation Using Inverse and Reciprocal Inverse Gaussian Kernels. Nonparametric Statistics, 16, 217-226.
http://dx.doi.org/10.1080/10485250310001624819
[4] Watson, G. and Leadbetter, M. (1964) Hazard Analysis I. Biometrika, 51, 175-184.
http://dx.doi.org/10.1093/biomet/51.1-2.175
[5] Rice, J. and Rosenblatt, M. (1976) Estimation of the Log Survivor Function and Hazard Function. Sankhya Series A, 38, 60-78.
[6] Cline, D.B.H. and Hart, J.D. (1991) Kernel Estimation of Densities of Discontinuous Derivatives. Statistics, 22, 69-84.
http://dx.doi.org/10.1080/02331889108802286
[7] Schuster, E.F. (1985) Incorporating Support Constraints into Nonparametric Estimators of Densities. Communications in Statistics, Part A—Theory and Methods, 14, 1123-1136.
http://dx.doi.org/10.1080/03610928508828965
[8] Silverman, B.W. (1986) Density Estimation for Statistics and Data Analysis. Chapman and Hall, London.
http://dx.doi.org/10.1007/978-1-4899-3324-9
[9] Cheng, M.Y., Fan, J. and Marron, J.S. (1997) On Automatic Boundary Corrections. The Annals of Statistics, 25, 1691-1708.
http://dx.doi.org/10.1214/aos/1031594737
[10] Zhang, S. and Karunamuni, R.J. (1998) On Kernel Density Estimation near Endpoints. Journal of Statistical Planning and Inference, 70, 301-316.
http://dx.doi.org/10.1016/S0378-3758(97)00187-0
[11] Chen, S.X. (2000) Probability Density Function Estimation Using Gamma Kernels. Annals of the Institute of Statistical Mathematics, 52, 471-480.
http://dx.doi.org/10.1023/A:1004165218295                    eww141007lx
标签：

评论

发表评论

此博客中的热门博文

Electron Spin and Proton Spin in the Hydrogen and Hydrogen-Like Atomic Systems

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52202#.VIj7tMnQrzE Author(s) Stanisław Olszewski * Affiliation(s) Institute of Physical Chemistry, Polish Academy of Sciences, Warsaw, Poland . ABSTRACT The mechanical angular momentum and magnetic moment of the electron and proton spin have been calculated semiclassically with the aid of the uncertainty principle for energy and time. The spin effects of both kinds of the elementary particles can be expressed in terms of similar formulae. The quantization of the spin motion has been done on the basis of the old quantum theory. It gives a quantum number n = 1/2 as the index of the spin state acceptable for both the electron and proton ...
发表评论
阅读全文

A Study on the Seismic Isolation Systems of Bridges with Lead Rubber Bearings

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52566#.VJt06cCAM4 Author(s)   Woo-Suk Kim , Dong-Joon Ahn , Jong-Kook Lee Affiliation(s) School of Architecture, Kumoh National Institute of Technology, Gumi, Republic of Korea . ABSTRACT This study consists of the development and presentation of example of seismic isolation system analysis and design for a continuous, 3-span, cast-in-place concrete box girder bridge. It is expected that example is developed for all Lead-Rubber Bearing (LRB) seismic isolation system on piers and abutments which placed in between super-structure and sub-structure. Design forces, displacements, and drifts are given distinctive consideration in...
发表评论
阅读全文

Effects of Karate Training on Basic Motor Abilities of Primary School Children

“You never attack first in karate” might be the best conclusion of karate, which is a martial art practiced typically without weapons. It’s reported that karate has a long history for several hundred years, but the modern karate was spread to the whole Japan from Okinawa in the early part of 20th century. Now it has become one of the most widely practiced martial art forms in the world. Usually, it’s divided into Kihon, Kata and Kumite. As for the beginners, Kihon is more suitable for them because it involves basic techniques. Due to karate consists of dynamic offensive and defensive techniques using all parts of the body to their maximum advantage, the best understanding of true karate practice is the perfection of oneself through the perfection of the art. It not only develops coordination, quickens reflexes, and builds stamina, but also develops composure, a clearer thought process, deeper insight into one’s mental capabilities, and more self-confidence. So many researchers stu...
发表评论
阅读全文