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Nonparametric Estimation for Semi-Markov Processes Based on its Hazard Rate Functions

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  • Brahim Ouhbi
  • Nikolaos Limnios

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  • Brahim Ouhbi & Nikolaos Limnios, 1999. "Nonparametric Estimation for Semi-Markov Processes Based on its Hazard Rate Functions," Statistical Inference for Stochastic Processes, Springer, vol. 2(2), pages 151-173, May.
  • Handle: RePEc:spr:sistpr:v:2:y:1999:i:2:p:151-173
    DOI: 10.1023/A:1009946129290
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    References listed on IDEAS

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    1. Helmut Schneider & Bin‐Shan Lin & Colm O'Cinneide, 1990. "Comparison of Nonparametric Estimators for the Renewal Function," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 39(1), pages 55-61, March.
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    Cited by:

    1. Enrique E. Alvarez, 2005. "Estimation in Stationary Markov Renewal Processes, with Application to Earthquake Forecasting in Turkey," Methodology and Computing in Applied Probability, Springer, vol. 7(1), pages 119-130, March.
    2. D’Amico, Guglielmo & Petroni, Filippo, 2023. "ROCOF of higher order for semi-Markov processes," Applied Mathematics and Computation, Elsevier, vol. 441(C).
    3. Irene Votsi & Nikolaos Limnios & George Tsaklidis & Eleftheria Papadimitriou, 2012. "Estimation of the Expected Number of Earthquake Occurrences Based on Semi-Markov Models," Methodology and Computing in Applied Probability, Springer, vol. 14(3), pages 685-703, September.
    4. Gámiz, M.L. & Román, Y., 2008. "Non-parametric estimation of the availability in a general repairable system," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1188-1196.
    5. Jiang, Tao & Liu, Yu, 2017. "Parameter inference for non-repairable multi-state system reliability models by multi-level observation sequences," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 3-15.
    6. Król, Agnieszka & Saint-Pierre, Philippe, 2015. "SemiMarkov: An R Package for Parametric Estimation in Multi-State Semi-Markov Models," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 66(i06).
    7. Anindya Goswami & Sanket Nandan, 2016. "Convergence of estimated option price in a regime switching market," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(2), pages 169-182, June.
    8. Dabrowska Dorota M., 2012. "Estimation in a Semi-Markov Transformation Model," The International Journal of Biostatistics, De Gruyter, vol. 8(1), pages 1-62, June.
    9. Biase di Giuseppe & Guglielmo D'Amico & Jacques Janssen & Raimondo Manca, 2014. "A Duration Dependent Rating Migration Model: Real Data Application and Cost of Capital Estimation," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 64(3), pages 233-245, June.
    10. Limnios, N., 2006. "Estimation of the stationary distribution of semi-Markov processes with Borel state space," Statistics & Probability Letters, Elsevier, vol. 76(14), pages 1536-1542, August.
    11. Vlad Stefan Barbu & Nicolas Vergne, 2019. "Reliability and Survival Analysis for Drifting Markov Models: Modeling and Estimation," Methodology and Computing in Applied Probability, Springer, vol. 21(4), pages 1407-1429, December.
    12. Andre Monteiro & Georgi V. Smirnov & Andre Lucas, 2006. "Nonparametric Estimation for Non-Homogeneous Semi-Markov Processes: An Application to Credit Risk," Tinbergen Institute Discussion Papers 06-024/2, Tinbergen Institute, revised 27 Mar 2006.
    13. Guglielmo D’Amico & Giuseppe Di Biase & Raimondo Manca, 2011. "Immigration Effects On Economic Systems Through Dynamic Inequality Indices," Global Journal of Business Research, The Institute for Business and Finance Research, vol. 5(5), pages 11-25.
    14. K. Khorshidian & F. Negahdari & H. A. Mardnifard, 2016. "Estimation for Discrete-time Semi-Markov Reward Processes: Analysis and Inference," Methodology and Computing in Applied Probability, Springer, vol. 18(3), pages 885-900, September.
    15. Manuel L. Esquível & Nadezhda P. Krasii & Gracinda R. Guerreiro, 2021. "Open Markov Type Population Models: From Discrete to Continuous Time," Mathematics, MDPI, vol. 9(13), pages 1-29, June.
    16. Vlad Stefan Barbu & Alex Karagrigoriou & Andreas Makrides, 2017. "Semi-Markov Modelling for Multi-State Systems," Methodology and Computing in Applied Probability, Springer, vol. 19(4), pages 1011-1028, December.

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