Volume 28, Issue 5 pp. 577-586
Original Paper
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Some Methods for Summarizing Survivorship Data in Nonstandard Situations

Dr. A. P. Gore

Corresponding Author

Dr. A. P. Gore

Department of Mathematics and Statistics, University of Calgary, Canada

A. P. Gore, The University of Calgary Faculty of Science Department of Mathematics & Statistics 2500 University Drive N. W. Calgary, Alberta, Canada T2N 1N4

Sharayu Paranjape, M. B. RAJARSHI University of Poona Department of Statistics Pune - 411007, India

M. B. Rajarshi, M. B. RAJARSHI University of Poona Department of Statistics Pune - 411007, India

Madhav Gadgil, Centre for Ecological Studies, Indian Institute of Science Bangalore, India

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Sharayu Paranjape

Corresponding Author

Sharayu Paranjape

Department of Statistics, University of Poona, India

A. P. Gore, The University of Calgary Faculty of Science Department of Mathematics & Statistics 2500 University Drive N. W. Calgary, Alberta, Canada T2N 1N4

Sharayu Paranjape, M. B. RAJARSHI University of Poona Department of Statistics Pune - 411007, India

M. B. Rajarshi, M. B. RAJARSHI University of Poona Department of Statistics Pune - 411007, India

Madhav Gadgil, Centre for Ecological Studies, Indian Institute of Science Bangalore, India

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M. B. Rajarshi

Corresponding Author

M. B. Rajarshi

Department of Statistics, University of Poona, India

A. P. Gore, The University of Calgary Faculty of Science Department of Mathematics & Statistics 2500 University Drive N. W. Calgary, Alberta, Canada T2N 1N4

Sharayu Paranjape, M. B. RAJARSHI University of Poona Department of Statistics Pune - 411007, India

M. B. Rajarshi, M. B. RAJARSHI University of Poona Department of Statistics Pune - 411007, India

Madhav Gadgil, Centre for Ecological Studies, Indian Institute of Science Bangalore, India

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Madhav Gadgil

Corresponding Author

Madhav Gadgil

Centre for Ecological Studies, Indian Institute of Science

A. P. Gore, The University of Calgary Faculty of Science Department of Mathematics & Statistics 2500 University Drive N. W. Calgary, Alberta, Canada T2N 1N4

Sharayu Paranjape, M. B. RAJARSHI University of Poona Department of Statistics Pune - 411007, India

M. B. Rajarshi, M. B. RAJARSHI University of Poona Department of Statistics Pune - 411007, India

Madhav Gadgil, Centre for Ecological Studies, Indian Institute of Science Bangalore, India

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First published: 1986
Citations: 13

Abstract

One difficulty in summarising biological survivorship data is that the hazard rates are often neither constant nor increasing with time or decreasing with time in the entire life span. The promising Weibull model does not work here. The paper demonstrates how bath tub shaped quadratic models may be used in such a case. Further, sometimes due to a paucity of data actual lifetimes are not as certainable. It is shown how a concept from queuing theory namely first in first out (FIFO) can be profitably used here. Another nonstandard situation considered is one in which lifespan of the individual entity is too long compared to duration of the experiment. This situation is dealt with, by using ancilliary information. In each case the methodology is illustrated with numerical examples.

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