Parameter Estimation of Inverse Rayleigh Distribution under Competing Risk Model for Masked data

Authors

  • M.S. Panwar Department of Statistics, Central University of Rajasthan, Kishangarh
  • Bapat Akanshya Sudhir Department of Statistics, Central University of Rajasthan, Kishangarh
  • Rashmi Bundel Department of Statistics, Central University of Rajasthan, Kishangarh
  • Sanjeev K. Tomer Department of Statistics, Banaras Hindu University, Varanasi

Keywords:

Masked data, asymptotic confidence intervals, inverse Rayleigh distribution

Abstract

This paper tries to derive maximum likelihood estimators (MLEs) for the parameters of the inverse Rayleigh distribution (IRD) when the observed data is masked. MLEs, asymptotic confidence intervals (ACIs) and boot-p confidence intervals (boot-p CIs) for the lifetime parameters have been discussed. The simulation illustrations provided that as the sample size increases the estimated value approaches to the true value, and the mean square error decreases with the increase in sample size, and mean square error increases with increase in level of masking, the ACIs are always symmetric and the boot-p CIs approaches to symmetry as the sample size increases whereas the mean life time due to the local spread of the disease is less than that due to the metastasis spread in case of real data set.

Journal of Institute of Science and Technology, 2015, 20(2): 122-127

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Published

2015-11-26

How to Cite

Parameter Estimation of Inverse Rayleigh Distribution under Competing Risk Model for Masked data. (2015). Journal of Institute of Science and Technology, 20(2), 122-127. https://doi.org/10.3126/jist.v20i2.13965

Issue

Vol. 20 No. 2 (2015)

Section

Research Articles

License

The copyright of the articles is held by the Institute of Science and Technology, Tribhuvan University (IoST- TU). The views and interpretations in this journal are those of the author(s). They are not attributable to the IoST-TU and do not imply the expression of any opinion concerning the legal status of any country, territory, city, area of its authorities, or concerning the delimitation of its frontiers or boundaries. The corresponding author is responsible for any conflict of interest between authors and others.

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How to Cite

Parameter Estimation of Inverse Rayleigh Distribution under Competing Risk Model for Masked data. (2015). Journal of Institute of Science and Technology, 20(2), 122-127. https://doi.org/10.3126/jist.v20i2.13965