Posterior Consistency in the Binomial Model with Unknown Parameters: A Numerical Study

2019 ◽  
pp. 35-42
Author(s):  
Laura Fee Schneider ◽  
Thomas Staudt ◽  
Axel Munk
Keyword(s):  
Numerical Study ◽  
Binomial Model ◽  
Posterior Consistency ◽  
Unknown Parameters

scholarly journals On Bayesian estimation of step stress accelerated life testing for exponentiated Lomax distribution based on censored samples

2020 ◽  
pp. 239-248
Author(s):  
Refah Mohamed Alotaibi ◽  
Hoda Ragab Rezk
Keyword(s):  
Numerical Study ◽  
Real Data ◽  
Operating Conditions ◽  
Stress Factors ◽  
Cumulative Exposure ◽  
Exposure Model ◽  
Life Testing ◽  
Unknown Parameters ◽  
Accelerated Life ◽  
Credible Intervals

In reliability analysis and life-testing experiments, the researcher is often interested in the effects of changing stress factors such as “temperature”, “voltage” and “load” on the lifetimes of the units. Step-stress (SS) test, which is a special class from the well-known accelerated life-tests, allows the experimenter to increase the stress levels at some constant times to obtain information on the unknown parameters of the life models more speedily than under usual operating conditions. In this paper, a simple SS model from the exponentiated Lomax (ExpLx) distribution when there is time limitation on the duration of the experiment is considered. Bayesian estimates of the parameters assuming a cumulative exposure model with lifetimes being ExpLx distribution are resultant using Markov chain Monte Carlo (M.C.M.C) procedures. Also, the credible intervals and predicted values of the scale parameter, reliability and hazard are derived. Finally, the numerical study and real data are presented to illustrate the proposed study

MODELING AND PARAMETER ESTIMATION OF TUBERCULOSIS WITH APPLICATION TO CAMEROON

2011 ◽  
Vol 21 (07) ◽  
pp. 1999-2015 ◽  
Author(s):  
SAMUEL BOWONG ◽  
JURGEN KURTHS
Keyword(s):  
Parameter Estimation ◽  
Statistical Data ◽  
Deterministic Model ◽  
Reproduction Number ◽  
Numerical Study ◽  
Epidemiological Data ◽  
Unknown Parameters ◽  
Tuberculosis Model ◽  
Epidemiological Features ◽  
Disease Free

This paper deals with the problem of modeling and parameter estimation of a deterministic model of tuberculosis (abbreviated as TB for tubercle bacillus). We first propose and analyze a tuberculosis model without seasonality that incorporates the essential biological and epidemiological features of the disease. The model is shown to exhibit the phenomenon of backward bifurcation, where a stable disease-free equilibrium coexists with one or more stable endemic equilibria when the associated basic reproduction number is less than unity. The statistical data of new TB cases show seasonal fluctuations in many countries. Then, we extend the proposed TB model by incorporating seasonality. We propose a numerical study to estimate unknown parameters according to demographic and epidemiological data in Cameroon. Simulation results are in good accordance with the seasonal variation of the reported new cases of active TB in Cameroon.

scholarly journals Dynamic pricing with finite price sets: a non-parametric approach

2021 ◽  
Author(s):  
Athanassios N. Avramidis ◽  
Arnoud V. den Boer
Keyword(s):  
Dynamic Pricing ◽  
Demand Uncertainty ◽  
Numerical Study ◽  
Dynamic Program ◽  
Unknown Parameters ◽  
Perishable Inventory ◽  
Price Optimization ◽  
Time Period ◽  
Dependent Parameter ◽  
Expected Revenue

AbstractWe study price optimization of perishable inventory over multiple, consecutive selling seasons in the presence of demand uncertainty. Each selling season consists of a finite number of discrete time periods, and demand per time period is Bernoulli distributed with price-dependent parameter. The set of feasible prices is finite, and the expected demand corresponding to each price is unknown to the seller, whose objective is to maximize cumulative expected revenue. We propose an algorithm that estimates the unknown parameters in a learning phase, and in each subsequent season applies a policy determined as the solution to a sample dynamic program, which modifies the underlying dynamic program by replacing the unknown parameters by the estimate. Revenue performance is measured by the regret: the expected revenue loss relative to the optimal attainable revenue under full information. For a given number of seasons n, we show that if the number of seasons allocated to learning is asymptotic to $$(n^2\log n)^{1/3}$$ ( n 2 log n ) 1 / 3 , then the regret is of the same order, uniformly over all unknown demand parameters. An extensive numerical study that compares our algorithm to six benchmarks adapted from the literature demonstrates the effectiveness of our approach.

Numerical study of the low-frequency atomic dynamics in a Lennard-Jones glass

1998 ◽  
Vol 77 (2) ◽  
pp. 473-484 ◽  
Author(s):  
M. Sampoli, P. Benassi, R. Dell'Anna,
Keyword(s):  
Numerical Study ◽  
Low Frequency ◽  
Lennard Jones

Experimental and numerical study of the response of steel sheet Hopkinson specimens

2006 ◽  
Vol 134 ◽  
pp. 541-546 ◽  
Author(s):  
P. Verleysen ◽  
J. Degrieck
Keyword(s):  
Steel Sheet ◽  
Numerical Study

Numerical simulation of the tree higro-thermal response in forest fire environment

2020 ◽  
pp. 57-65
Author(s):  
Eusébio Conceiçã ◽  
João Gomes ◽  
Maria Manuela Lúcio ◽  
Jorge Raposo ◽  
Domingos Xavier Viegas ◽  
...  
Keyword(s):  
Forest Fire ◽  
Numerical Study ◽  
Thermal Response ◽  
View Factor ◽  
Tree Model ◽  
Pine Tree ◽  
Surface Temperatures ◽  
Fire Environment ◽  
Fire Front ◽  
Heat Exchanges

This paper refers to a numerical study of the hypo-thermal behaviour of a pine tree in a forest fire environment. The pine tree thermal response numerical model is based on energy balance integral equations for the tree elements and mass balance integral equation for the water in the tree. The simulation performed considers the heat conduction through the tree elements, heat exchanges by convection between the external tree surfaces and the environment, heat exchanges by radiation between the flame and the external tree surfaces and water heat loss by evaporation from the tree to the environment. The virtual three-dimensional tree model has a height of 7.5 m and is constituted by 8863 cylindrical elements representative of its trunks, branches and leaves. The fire front has 10 m long and a 2 m high. The study was conducted taking into account that the pine tree is located 5, 10 or 15 m from the fire front. For these three analyzed distances, the numerical results obtained regarding to the distribution of the view factors, mean radiant temperature and surface temperatures of the pine tree are presented. As main conclusion, it can be stated that the values of the view factor, MRT and surface temperatures of the pine tree decrease with increasing distance from the pine tree in front of fire.

NUMERICAL STUDY FOR THAILAND: MATHEMATICAL MODEL OF PRODUCTION AND LOGISTIC PLANNING FOR SUGARCANES USED IN BIOFUEL PRODUCTION

2013 ◽  
Author(s):  
Pancheewa Benjamasutin ◽  
◽  
Ponthong Rijana ◽  
Phongchayont Srisuwan ◽  
Aussadavut Dumrongsiri
Keyword(s):  
Mathematical Model ◽  
Numerical Study ◽  
Biofuel Production ◽  
Logistic Planning
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