Estimating the Occurrence Rate for Alpha-Series Process in Rayleigh Distribution
How to cite (IJASEIT) :
H. Aydogdu, B. Senoglu, and K. Mahmut, "Application of MML Methodology to an α-Series Process with Weibull Distribution," Hacettepe Journal of Mathematics and Statistics, vol. 39, pp. 449-460, 2010.
W. J. Braun, W. Li, and Y. Q. Zhao, "Properties of the geometric and related processes," Naval Research Logistics (NRL), vol. 52, pp. 607-616, 2005.
W. J. Braun, W. Li, and Y. Q. Zhao, "Some theoretical properties of the geometric and α-series processes," Communications in Statistics—Theory and Methods, vol. 37, pp. 1483-1496, 2008.
R. Hidayat, I. T. R. Yanto, A. A. Ramli, and M. F. M. Fudzee, "Similarity measure fuzzy soft set for phishing detection," International Journal of Advances in Intelligent Informatics, vol. 7, pp. 101-111, 2021.
J. Hillston, "Stochastic process algebras and their markovian semantics," ACM SIGLOG News, vol. 5, pp. 20-35, 2018.
P. Aguilar and R. Sommaruga, "The balance between deterministic and stochastic processes in structuring lake bacterioplankton community over time," Molecular ecology, vol. 29, pp. 3117-3130, 2020.
N. Masuda and L. E. Rocha, "A Gillespie algorithm for non-Markovian stochastic processes," Siam Review, vol. 60, pp. 95-115, 2018.
F. Feng, S. Teng, K. Liu, J. Xie, Y. Xie, B. Liu, et al., "Co-estimation of lithium-ion battery state of charge and state of temperature based on a hybrid electrochemical-thermal-neural-network model," Journal of Power Sources, vol. 455, p. 227935, 2020.
R. Arnold, S. Chukova, Y. Hayakawa, and S. Marshall, "Geometric-like processes: An overview and some reliability applications," Reliability Engineering & System Safety, vol. 201, p. 106990, 2020.
A. Gioia, M. F. Bruno, V. Totaro, and V. Iacobellis, "Parametric assessment of trend test power in a changing environment," Sustainability, vol. 12, p. 3889, 2020.
M. Kara, H. Aydoğdu, and B. Şenoğlu, "Statistical inference for α-series process with gamma distribution," Communications in Statistics-Theory and Methods, vol. 46, pp. 6727-6736, 2017.
M. Kara, í–. AltındaÄŸ, M. H. Pekalp, and H. AydoÄŸdu, "Parameter estimation in α-series process with lognormal distribution," Communications in Statistics-Theory and Methods, vol. 48, pp. 4976-4998, 2019.
M. Kara, í–. Tí¼rkÅŸen, and H. AydoÄŸdu, "Statistical inference for α-series process with the inverse Gaussian distribution," Communications in Statistics-Simulation and Computation, vol. 46, pp. 4938-4950, 2017.
Y. Lam, The geometric process and its applications: World Scientific, 2007.
W.-X. Li, C. C.-S. Chen, and J. J. French, "The relationship between liquidity, corporate governance, and firm valuation: Evidence from Russia," Emerging Markets Review, vol. 13, pp. 465-477, 2012.
H. Demirci Bií§er, "Statistical Inference for Alpha-Series Process with the Generalized Rayleigh Distribution," Entropy, vol. 21, p. 451, 2019.
X. Li, H. Zhang, R. Zhang, Y. Liu, and F. Nie, "Generalized uncorrelated regression with adaptive graph for unsupervised feature selection," IEEE transactions on neural networks and learning systems, vol. 30, pp. 1587-1595, 2018.
Y. L. Y. Lin, "Geometric processes and replacement problem," Acta Mathematicae Applicatae Sinica, vol. 4, pp. 366-377, 1988.
M. R. Vahid, B. Hanzon, and R. J. Ober, "Fisher information matrix for single molecules with stochastic trajectories," SIAM Journal on Imaging Sciences, vol. 13, pp. 234-264, 2020.
A. Eshragh, "Fisher Information, stochastic processes and generating functions," in Proceedings of the 21st International Congress on Modeling and Simulation, 2015.
I. Andrews and A. Mikusheva, "Maximum likelihood inference in weakly identified dynamic stochastic general equilibrium models," Quantitative Economics, vol. 6, pp. 123-152, 2015.
L. Meng and J. C. Spall, "Efficient computation of the fisher information matrix in the em algorithm," in 2017 51st Annual Conference on Information Sciences and Systems (CISS), 2017, pp. 1-6.
M.-K. Riviere, S. Ueckert, and F. Mentrí©, "An MCMC method for the evaluation of the Fisher information matrix for non-linear mixed effect models," Biostatistics, vol. 17, pp. 737-750, 2016.
E. Bulinskaya and A. Sokolova, "Limit theorems for generalized renewal processes," Theory of Probability & Its Applications, vol. 62, pp. 35-54, 2018.
M. P. Laurini and L. K. Hotta, "Generalized moment estimation of stochastic differential equations," Computational Statistics, vol. 31, pp. 1169-1202, 2016.
L. Yeh and S. K. Chan, "Statistical inference for geometric processes with lognormal distribution," Computational statistics & data analysis, vol. 27, pp. 99-112, 1998.
H. Demirci Bií§er, "Statistical inference for geometric process with the Two-Parameter Lindley Distribution," Communications in Statistics-Simulation and Computation, vol. 49, pp. 2979-3000, 2020.
M. Kara, H. AydoÄŸdu, and í–. Tí¼rkÅŸen, "Statistical inference for geometric process with the inverse Gaussian distribution," Journal of Statistical Computation and Simulation, vol. 85, pp. 3206-3215, 2015.
C. Bicer, "Statistical inference for geometric process with the power Lindley distribution," Entropy, vol. 20, p. 723, 2018.
R. Diwakar, "An evaluation of normal versus lognormal distribution in data description and empirical analysis," Practical Assessment, Research, and Evaluation, vol. 22, p. 13, 2017.
C. Bií§er, H. D. Bií§er, K. Mahmut, and H. AydoÄŸdu, "Statistical inference for geometric process with the Rayleigh distribution," Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, pp. 149-160, 2019.
M. H. Pekalp, H. AydoÄŸdu, and K. F. Tí¼rkman, "Discriminating between some lifetime distributions in geometric counting processes," Communications in Statistics-Simulation and Computation, vol. 51, pp. 715-737, 2020.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).