On the Estimation of Averages Over Infinite Intervals with an Application to Average Persistence in Population Models
نویسندگان
چکیده
We establish a general result for estimating the upper average of a continuous and bounded function over an infinite interval. As an application, we show that a previously studied model of microbial growth in a chemostat with time–varying nutrient input admits solutions (populations) that exhibit weak persistence but not weak average persistence.
منابع مشابه
Change Point Estimation of the Stationary State in Auto Regressive Moving Average Models, Using Maximum Likelihood Estimation and Singular Value Decomposition-based Filtering
In this paper, for the first time, the subject of change point estimation has been utilized in the stationary state of auto regressive moving average (ARMA) (1, 1). In the monitoring phase, in case the features of the question pursue a time series, i.e., ARMA(1,1), on the basis of the maximum likelihood technique, an approach will be developed for the estimation of the stationary state’s change...
متن کاملStatistical Topology Using the Nonparametric Density Estimation and Bootstrap Algorithm
This paper presents approximate confidence intervals for each function of parameters in a Banach space based on a bootstrap algorithm. We apply kernel density approach to estimate the persistence landscape. In addition, we evaluate the quality distribution function estimator of random variables using integrated mean square error (IMSE). The results of simulation studies show a significant impro...
متن کاملEffect of mycorrhiza fungi on the quantitative and qualitative traits of cowpea (vigna unguiculata L.) in different irrigation intervals
In order to effect of mycorrhiza fungi on the quantitative and qualitative traits of cowpea in different irrigation intervals, this research was carried out in 2017 in Khorramshahr as split plot based on randomized complete block design with four replications. The treatments consisted of different irrigation intervals at four levels of 55, 80, 105 and 130 mm evaporation from class A evaporation...
متن کاملBayes Interval Estimation on the Parameters of the Weibull Distribution for Complete and Censored Tests
A method for constructing confidence intervals on parameters of a continuous probability distribution is developed in this paper. The objective is to present a model for an uncertainty represented by parameters of a probability density function. As an application, confidence intervals for the two parameters of the Weibull distribution along with their joint confidence interval are derived. The...
متن کاملAnalysis of Birth Spacing Using Frailty Models
Background and objectives: Birth spacing is an important variable for identification of fertility acceleration, total fertility rate, and maternal and fetal health. Therefore, special attention has been paid to this issue by researchers in the fields of medical sciences, health, and population. In addition, proper analysis of this concept is of foremost importance. Application of classical anal...
متن کامل