Frank P. A. Coolen

Durham University

210Publications

24H-index

2,224Citations

Publications 212

Newest

#1Shakeel AhmedH-Index: 13

#2Javid ShabbirH-Index: 17

Last.F.P.A. Coolen

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Time-dependent reliability analysis of wind turbines considering load-sharing using fault tree analysis and Markov chains.

#1Yao Li (Chongqing University)

#2Frank P. A. Coolen (Durham University)H-Index: 24

Due to the high failure rates and the high cost of operation and maintenance of wind turbines, not only manufacturers but also service providers try many ways to improve the reliability of some critical components and subsystems. In reality, redundancy design is commonly used to improve the reliability of critical components and subsystems. The load dependencies and failure dependencies among redundancy components and subsystems are crucial to the reliability assessment of wind turbines. However...

Statistical inference for the Arrhenius-Weibull accelerated life testing model with imprecision based on the likelihood ratio test.

In this paper, we present a new imprecise statistical inference method for accelerated life testing data, where nonparametric predictive inferences at normal stress levels are integrated with a parametric Arrhenius-Weibull model. The method includes imprecision based on the likelihood ratio test which provides robustness with regard to the model assumptions. We use the likelihood ratio test to obtain an interval for the parameter of the Arrhenius link function providing imprecision into the meth...

On nonparametric predictive inference for asset and European option trading in the binomial tree model

#1Junbin Chen (Durham University)H-Index: 1

#2Frank P. A. Coolen (Durham University)H-Index: 24

Last.Tahani Coolen-Maturi (Durham University)H-Index: 9

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AbstractThis article introduces a novel method for asset and option trading in a binomial scenario. This method uses nonparametric predictive inference (NPI), a statistical methodology within impre...

#1Ting He (Durham University)H-Index: 1

#2Frank P. A. Coolen (Durham University)H-Index: 24

Last.Tahani Coolen-Maturi (Durham University)H-Index: 9

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AbstractIn finance, option pricing is one of the main topics. A basic model for option pricing is the Binomial Tree Model, proposed by Cox, Ross, and Rubinstein in 1979 (CRR). This model assumes that the underlying asset price follows a binomial distribution with a constant upward probability, the so-called risk-neutral probability. In this article, we propose a novel method based on the binomial tree. Rather than using the risk-neutral probability, we apply Nonparametric Predictive Inference (N...

#1Tahani Coolen-Maturi (Durham University)H-Index: 9

#2Frank P. A. Coolen (Durham University)H-Index: 24

Credit rating or credit scoring systems are important tools for estimating the obligor's creditworthiness and for providing an indication of the obligor's future status. The discriminatory power of a credit rating or credit scoring system refers to its ex ante ability to distinguish between two or more classes of borrowers. One of the most popular tools for the validation of the power of credit rating or credit scoring models to distinguish between two (or more) classes of borrowers is the recei...

#1Xianzhen Huang (NU: Northeastern University)H-Index: 7

#2Louis J. M. Aslett (Durham University)H-Index: 6

Last.Frank P. A. Coolen (Durham University)H-Index: 24

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Abstract It is often difficult for a phased mission system (PMS) to be highly reliable, because this entails achieving high reliability in every phase of operation. Consequently, reliability analysis of such systems is of critical importance. However, efficient and interpretable analysis of PMSs enabling general component lifetime distributions, arbitrary structures, and the possibility that components skip phases has been an open problem. In this paper, we show that the survival signature can b...

Nonparametric predictive comparison of two diagnostic tests based on total numbers of correctly diagnosed individuals.

#1Manal H. Alabdulhadi (Qassim University)H-Index: 1

#2Frank P. A. Coolen (Durham University)H-Index: 24

Last.Tahani Coolen-Maturi (Durham University)H-Index: 9

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In clinical applications, it is important to compare and study the ability of diagnostic tests to discriminate between individuals with and without the disease. In this paper, comparison of two diagnostic tests is presented and discussed using nonparametric predictive inference (NPI). We compare the two tests by considering the total numbers of correct diagnoses for specific numbers of future healthy individuals and future patients. This NPI approach for comparison of diagnostic tests is also ge...

#1Hindolo George-Williams (NTHU: National Tsing Hua University)H-Index: 3

#2Geng Feng (UCLan: University of Central Lancashire)H-Index: 2

Last.Edoardo Patelli (University of Liverpool)H-Index: 16

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Dependent failures impose severe consequences on a complex system’s reliability and overall performance, and a realistic assessment, therefore, requires an adequate consideration of these failures. System survival signature opens up a new and efficient way to compute a system’s reliability, given its ability to segregate the structural from the probabilistic attributes of the system. Consequently, it outperforms the well-known system reliability evaluation techniques, when solicited for problems...

#1Lev V. Utkin (Saint Petersburg State Polytechnic University)H-Index: 19

#2Maxim S. Kovalev (Saint Petersburg State Polytechnic University)H-Index: 1

Last.Frank P. A. Coolen (Durham University)H-Index: 24

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