scholarly journals An Approximation of Minimum Initial Capital of Investment Discrete Time Surplus Process with Weibull Distribution in a Reinsurance Company

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Soontorn Boonta ◽  
Somchit Boonthiem
Keyword(s):  
Weibull Distribution ◽  
Least Squares Method ◽  
Likelihood Estimation ◽  
Direct Search ◽  
Search Method ◽  
Direct Search Method ◽  
Initial Capital ◽  
Surplus Process ◽  
Low Probability ◽  
Fire Accidents

Catastrophe is a loss that has a low probability of occurring but can lead to high-cost claims. This paper uses the data of fire accidents from a reinsurance company in Thailand for an experiment. Our study is in two parts. First, we approximate the parameters of a Weibull distribution. We compare the parameter estimation using a direct search method with other frequently used methods, such as the least squares method, the maximum likelihood estimation, and the method of moments. The results show that the direct search method approximates the parameters more precisely than other frequently used methods (to four-digit accuracy). Second, we approximate the minimum initial capital (MIC) a reinsurance company has to hold under a given ruin probability (insolvency probability) by using parameters from the first part. Finally, we show MIC with varying the premium rate.

scholarly journals A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Xiaowei Fang ◽  
Qin Ni
Keyword(s):  
Radial Basis Function ◽  
Basis Function ◽  
Direct Search ◽  
Search Method ◽  
Conjugate Gradients ◽  
Test Problems ◽  
Interpolation Model ◽  
Direct Search Method ◽  
Radial Basis Function Interpolation ◽  
Radial Basis

In this paper, we propose a new hybrid direct search method where a frame-based PRP conjugate gradients direct search algorithm is combined with radial basis function interpolation model. In addition, the rotational minimal positive basis is used to reduce the computation work at each iteration. Numerical results for solving the CUTEr test problems show that the proposed method is promising.

A direct-search method for the computer design of holograms

1996 ◽  
Vol 124 (1-2) ◽  
pp. 150-164 ◽  
Author(s):  
Matthew Clark ◽  
Robin Smith
Keyword(s):  
Direct Search ◽  
Search Method ◽  
Computer Design ◽  
Direct Search Method

Visual and Automatic Spectral Analysis Using a Small Digital Computer

1975 ◽  
Vol 29 (6) ◽  
pp. 493-496 ◽  
Author(s):  
J. W. Akitt
Keyword(s):  
Raman Spectroscopy ◽  
Spectral Analysis ◽  
Fourier Transform ◽  
Digital Computer ◽  
Fourier Transform Spectroscopy ◽  
Direct Search ◽  
Search Method ◽  
Small Computer ◽  
Quadrupolar Nuclei ◽  
Direct Search Method

A small computer, forming part of an NMR Fourier transform spectroscopy installation, has been programmed to analyze spectra consisting of overlapping lines such as are obtained from quadrupolar nuclei or in Raman spectroscopy. A rough visual fit to the data, which is displayed on an oscilloscope, is obtained by manual insertion of parameters and the fit is refined automatically using a sequential direct search method, thus eliminating the tedious stage of manual refinement. The equipment has proved easy and convenient to use.

Sign in / Sign up

Export Citation Format

Share Document