Geometric-like processes: An overview and some reliability applications

R Arnold, S Chukova, Y Hayakawa… - Reliability Engineering & …, 2020 - Elsevier
The geometric process (GP) can be used to model the occurrence of events, which have an
underlying monotonic trend. This type of trend can be observed in many practical problems …

A review of the extensions of the geometric process, applications, and challenges

D Wu, R Peng, S Wu - Quality and Reliability Engineering …, 2020 - Wiley Online Library
Modelling the failure process of a repairable system is vitally important in many industrial
sectors such as the offshore industry and the transport industry, in which properly …

Computation of the mean value and variance functions in geometric process

H Aydoğdu, Ö Altındağ - Journal of Statistical Computation and …, 2016 - Taylor & Francis
Geometric process (GP) is widely used as a non-stationary stochastic model in reliability
analysis. In many of applications related with GP its mean value and variance functions are …

An integral equation for the second moment function of a geometric process and its numerical solution

MH Pekalp, H Aydoğdu - Naval Research Logistics (NRL), 2018 - Wiley Online Library
In this article, an integral equation satisfied by the second moment function M2 (t) of a
geometric process is obtained. The numerical method based on the trapezoidal integration …

A rate randomized geometric process with applications

M Asadi, S Wu - Naval Research Logistics (NRL), 2024 - Wiley Online Library
The geometric process has been widely studied in various disciplines and applied in
reliability, maintenance and warranty cost analysis, among others. In its applications in …

Power series expansions for the probability distribution, mean value and variance functions of a geometric process with gamma interarrival times

MH Pekalp, H Aydoğdu - Journal of Computational and Applied …, 2021 - Elsevier
The geometric process is used widely as a stochastic monotone model in many areas since
its introduction. In this study, this process is considered when the distribution of the first …

Power series expansions for the distribution and mean value function of a geometric process with W eibull interarrival times

H Aydoğdu, İ Karabulut - Naval Research Logistics (NRL), 2014 - Wiley Online Library
The geometric process is considered when the distribution of the first interarrival time is
assumed to be Weibull. Its one‐dimensional probability distribution is derived as a power …

Parametric estimations of the mean value and variance functions in geometric process

MH Pekalp, H Aydoğdu - Journal of Computational and Applied …, 2024 - Elsevier
The paper introduces novel parametric estimators for the mean value function (MVF) and
variance function (VF) in geometric processes (GPs) based on a random sample which …

[HTML][HTML] An asymptotic solution of the integral equation for the second moment function in geometric processes

MH Pekalp, H Aydoğdu - Journal of computational and applied …, 2019 - Elsevier
In this study, we derive an asymptotic solution of the integral equation satisfied by the
second moment function M 2 t, a. We first find the Laplace transform M 2 L s, a and then …

Kalsine edilmiş zeolit esaslı geopolimerlerin basınç dayanımına mineral katkı olarak cürufun etkisi

S Özen - Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 2023 - dergipark.org.tr
Geopolimerler, yeşil bağlayıcı malzeme olarak adlandırılan ve başlangıç hammaddeleri
olarak doğal veya atık malzemeleri içeren yapı malzemeleridir. İnşaat sektöründeki …