A Study on Birth Interval Dynamics

Abstract

newline With the advancement in technology, new items are being invented and existing items newlineare updated by researchers very often but these innovations are not just limited to the newlinemanufacturing process. An experimenter needs to ensure that the product works satisfactorily newlinefor a stipulated time period. For this purpose, life testing experiments are newlineperformed in a laboratory under specified environmental conditions where manufactured newlineitems are observed till the occurrence of some adverse event. If the end point is death of newlinea unit, the resulting data are literally survival times. However, data of similar form can newlinebe obtained when the end-point is not fatal, such as recurrence of symptoms, relief from newlinetrauma. In this case, the observations are often referred to as time to event data. Thus, newlinethe knowledge of the failure free functioning of any life time unit is of great importance. newlineNaturally, an experimental output is recorded as an ordered observations of failure newlinetimes of all the units on test. However, in life testing experiments and reliability theory, newlineobserving failure times of an entire sample under study is non-conventional. This newlinemay be due to varied restrictions levied on such experiments like cost effectiveness, total newlinetime of test, simplicity of experimental set-up, and many more. These constraints are newlinemanoeuvred by an experimenter which results in censoring of data arising in an experiment. newlineLiterally, censoring refers to purposively suppressing a part of desired information. newlineHence, under such experimental layout, we record exact life time of those units which newlinefails in the surveillance period and partial life time or the censored information for those newlineunits which does not fail during the study.