On the estimation of mean infecundable period following childbirth.

S. Biswas, A. Ma
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Abstract

Assuming that the expiration of lactation is caused by 2 competing forces a model is presented to estimate with best possible precision the mean period of natural infecundability following childbirth. In general a lactating mother following childbirth is considered infecundable. Sometimes however menstruation may freshly recommence before the end of the period of lactation and place the mother at risk of reconception. Assuming that post partum amenorrhoea (PPA) expires sometime soon after the end of lactation what is the expected longevity of the lactation period? This mathematical model offers a solution to estimating both the mean length of PPA when lactation period continues after the end of the former. The model accomplishes this task by weighting the mean infecundable period with the respective probabilities that lactation will last longer that PPA or vice versa. A precise estimation lies somewhere between the 2 scenarios. Freunds 1961 bivariate exponential model is used to illustrate the methodology.
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关于分娩后平均不孕期的估计。
假设哺乳期的结束是由两种相互竞争的力量引起的,提出了一个模型来尽可能精确地估计分娩后自然不能生育的平均时间。一般来说,产后哺乳期的母亲被认为是不孕的。然而,有时月经可能会在哺乳期结束前重新开始,并使母亲面临重新怀孕的风险。假设产后闭经(PPA)在哺乳期结束后不久到期,哺乳期的预期寿命是多少?该数学模型为估算前者结束后哺乳期继续时PPA的平均长度提供了一种解决方案。该模型通过将平均不可推断期与哺乳期比PPA持续时间更长或反之亦然的概率加权来完成这项任务。精确的估计介于这两种情况之间。采用Freunds 1961年的双变量指数模型来说明该方法。
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