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Size-biased Poisson-Lindley distribution and its application

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  1. Sanku Dey & Indranil Ghosh & Devendra Kumar, 2019. "Alpha-Power Transformed Lindley Distribution: Properties and Associated Inference with Application to Earthquake Data," Annals of Data Science, Springer, vol. 6(4), pages 623-650, December.
  2. Ahmad M. H. Al-khazaleh & Shawkat Alkhazaleh, 2019. "On Wrapping of Quasi Lindley Distribution," Mathematics, MDPI, vol. 7(10), pages 1-9, October.
  3. Johannes Ferreira & Ané van der Merwe, 2022. "A Noncentral Lindley Construction Illustrated in an INAR(1) Environment," Stats, MDPI, vol. 5(1), pages 1-19, January.
  4. Ramajeyam Tharshan & Pushpakanthie Wijekoon, 2020. "A comparison study on a new five-parameter generalized Lindley distribution with its sub-models," Statistics in Transition New Series, Polish Statistical Association, vol. 21(2), pages 89-117, June.
  5. Amer Ibrahim Al-Omari & SidAhmed Benchiha & Ibrahim M. Almanjahie, 2022. "Efficient Estimation of Two-Parameter Xgamma Distribution Parameters Using Ranked Set Sampling Design," Mathematics, MDPI, vol. 10(17), pages 1-18, September.
  6. Suparna Basu & Sanjay K. Singh & Umesh Singh, 2019. "Estimation of Inverse Lindley Distribution Using Product of Spacings Function for Hybrid Censored Data," Methodology and Computing in Applied Probability, Springer, vol. 21(4), pages 1377-1394, December.
  7. Hurairah Ahmed & Alabid Abdelhakim, 2020. "Beta transmuted Lomax distribution with applications," Statistics in Transition New Series, Statistics Poland, vol. 21(2), pages 13-34, June.
  8. E.I., Abdul Sathar & K.V., Viswakala, 2019. "Non-parametric estimation of Kullback–Leibler discrimination information based on censored data," Statistics & Probability Letters, Elsevier, vol. 154(C), pages 1-1.
  9. Shikhar Tyagi & Arvind Pandey & Christophe Chesneau, 2022. "Weighted Lindley Shared Regression Model for Bivariate Left Censored Data," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 655-682, November.
  10. Tharshan Ramajeyam & Wijekoon Pushpakanthie, 2020. "A comparison study on a new five-parameter generalized Lindley distribution with its sub-models," Statistics in Transition New Series, Statistics Poland, vol. 21(2), pages 89-117, June.
  11. Halim Zeghdoudi & Lazri Nouara & Djabrane Yahia, 2018. "Lindley Pareto Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 671-692, December.
  12. Patawa, Rohit & Pundir, Pramendra Singh, 2023. "Inferential study of single unit repairable system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 503-516.
  13. Claramunt, M. Mercè & Costa, Teresa & Mármol, Maite & Varea, Xavier, 2024. "Household Refundable Utility by taking out refundable insurance: Empirical study in the Spanish auto insurance market," Economics Letters, Elsevier, vol. 241(C).
  14. Jimmy Reyes & Yuri A. Iriarte & Pedro Jodrá & Héctor W. Gómez, 2019. "The Slash Lindley-Weibull Distribution," Methodology and Computing in Applied Probability, Springer, vol. 21(1), pages 235-251, March.
  15. Alaaeldin Mohamed Dyab & Hiba Zeyada Muhammed, 2025. "Correction to: Bayesian estimation of the number of species from Poisson–Lindley stochastic abundance model using non-informative priors," Computational Statistics, Springer, vol. 40(5), pages 2471-2489, June.
  16. Rama Shanker & Kamlesh Kumar Shukla, 2017. "Zero-Truncated Poisson-Garima Distribution and its Applications," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 3(1), pages 14-19, September.
  17. Mahendra Saha & Harsh Tripathi & Sanku Dey & Sudhansu S. Maiti, 2021. "Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(6), pages 1410-1419, December.
  18. Yan Zhuang & Sudeep R. Bapat & Wenjie Wang, 2024. "Statistical Inference on the Shape Parameter of Inverse Generalized Weibull Distribution," Mathematics, MDPI, vol. 12(24), pages 1-16, December.
  19. Wang, Shaochen & Weiß, Christian H., 2023. "New characterizations of the (discrete) Lindley distribution and their applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 310-322.
  20. Mahendra Saha & Sumit Kumar & Pratibha Pareek & Gaurav Doodwal & Bhagchand Meena, 2025. "Parametric confidence intervals of generalized process capability index for finite mixture distributions," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 16(5), pages 1679-1688, May.
  21. Manoj Kumar & Anurag Pathak & Sukriti Soni, 2019. "Bayesian Inference for Rayleigh Distribution Under Step-Stress Partially Accelerated Test with Progressive Type-II Censoring with Binomial Removal," Annals of Data Science, Springer, vol. 6(1), pages 117-152, March.
  22. Muhammad Aslam Mohd Safari & Nurulkamal Masseran & Muhammad Hilmi Abdul Majid, 2020. "Robust Reliability Estimation for Lindley Distribution—A Probability Integral Transform Statistical Approach," Mathematics, MDPI, vol. 8(9), pages 1-21, September.
  23. Muthanna Ali Hussein Al-Lami & Hossein Jabbari Khamnei & Ali Akbar Heydari, 2025. "A parametric bootstrap control chart for Lindley Geometric percentiles," PLOS ONE, Public Library of Science, vol. 20(2), pages 1-29, February.
  24. Deepesh Bhati & Mohd. Malik & H. Vaman, 2015. "Lindley–Exponential distribution: properties and applications," METRON, Springer;Sapienza Università di Roma, vol. 73(3), pages 335-357, December.
  25. A. Shabani & M. Khaleghi Moghadam & A. Gholami & E. Moradi, 2018. "Exponentiated Power Lindley Logarithmic: Model, Properties and Applications," Annals of Data Science, Springer, vol. 5(4), pages 583-613, December.
  26. Anurag Pathak & Manoj Kumar & Sanjay Kumar Singh & Umesh Singh & Sandeep Kumar, 2024. "Bayesian estimation of the number of species from Poisson-Lindley stochastic abundance model using non-informative priors," Computational Statistics, Springer, vol. 39(7), pages 3881-3906, December.
  27. Ghitany, M.E. & Al-Mutairi, D.K. & Balakrishnan, N. & Al-Enezi, L.J., 2013. "Power Lindley distribution and associated inference," Computational Statistics & Data Analysis, Elsevier, vol. 64(C), pages 20-33.
  28. Emrah Altun & Gauss M. Cordeiro, 2020. "The unit-improved second-degree Lindley distribution: inference and regression modeling," Computational Statistics, Springer, vol. 35(1), pages 259-279, March.
  29. Singh, Bhupendra & Gupta, Puneet Kumar, 2012. "Load-sharing system model and its application to the real data set," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1615-1629.
  30. Morad Alizadeh & Emrah Altun & Gamze Ozel & Mahmoud Afshari & Abbas Eftekharian, 2019. "A New Odd Log-Logistic Lindley Distribution with Properties and Applications," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(2), pages 323-346, December.
  31. Shovan Chowdhury, 2019. "Selection between Exponential and Lindley distributions," Working papers 316, Indian Institute of Management Kozhikode.
  32. Tzong-Ru Tsai & Yuhlong Lio & Jyun-You Chiang & Yi-Jia Huang, 2022. "A New Process Performance Index for the Weibull Distribution with a Type-I Hybrid Censoring Scheme," Mathematics, MDPI, vol. 10(21), pages 1-17, November.
  33. Morad Alizadeh & Mahmoud Afshari & Gauss M. Cordeiro & Ziaurrahman Ramaki & Javier E. Contreras-Reyes & Fatemeh Dirnik & Haitham M. Yousof, 2025. "A New Weighted Lindley Model with Applications to Extreme Historical Insurance Claims," Stats, MDPI, vol. 8(1), pages 1-20, January.
  34. Isidro A. Pérez & María de los Ángeles García & María Luisa Sánchez & Nuria Pardo, 2021. "Influence of Wind Speed on CO 2 and CH 4 Concentrations at a Rural Site," IJERPH, MDPI, vol. 18(16), pages 1-16, August.
  35. Festus C. Opone & Nosakhare Ekhosuehi & Sunday E. Omosigho, 2022. "Topp-Leone Power Lindley Distribution(Tlpld): its Properties and Application," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 597-608, August.
  36. A. Asgharzadeh & A. Fallah & M. Z. Raqab & R. Valiollahi, 2018. "Statistical inference based on Lindley record data," Statistical Papers, Springer, vol. 59(2), pages 759-779, June.
  37. Marius Giuclea & Costin-Ciprian Popescu, 2022. "On Geometric Mean and Cumulative Residual Entropy for Two Random Variables with Lindley Type Distribution," Mathematics, MDPI, vol. 10(9), pages 1-10, April.
  38. Dey Sanku & Waymyers Sophia & Kumar Devendra, 2020. "The Reflected-Shifted-Truncated Lindley Distribution with Applications," Stochastics and Quality Control, De Gruyter, vol. 35(2), pages 67-77, December.
  39. Kamlesh Kumar Shukla & Rama Shanker, 2018. "Power Ishita Distribution And Its Application To Model Lifetime Data," Statistics in Transition New Series, Polish Statistical Association, vol. 19(1), pages 135-148, March.
  40. Subhradev Sen & Hazem Al-Mofleh & Sudhansu S. Maiti, 2021. "On Discrimination Between the Lindley and xgamma Distributions," Annals of Data Science, Springer, vol. 8(3), pages 559-575, September.
  41. Ranjbar V. & Alizadeh M. & Hamedani G. G., 2018. "Extended Exponentiated Power Lindley Distribution," Statistics in Transition New Series, Statistics Poland, vol. 19(4), pages 621-643, December.
  42. Neha Goel & Hare Krishna, 2022. "Estimation in Residual lifetime Lindley distribution with Type II censored data," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(1), pages 363-374, February.
  43. Manal M. Yousef & Amal S. Hassan & Abdullah H. Al-Nefaie & Ehab M. Almetwally & Hisham M. Almongy, 2022. "Bayesian Estimation Using MCMC Method of System Reliability for Inverted Topp–Leone Distribution Based on Ranked Set Sampling," Mathematics, MDPI, vol. 10(17), pages 1-26, August.
  44. Cha, Ji Hwan, 2019. "Poisson Lindley process and its main properties," Statistics & Probability Letters, Elsevier, vol. 152(C), pages 74-81.
  45. Irshad M. R. & Maya R., 2018. "On A Less Cumbersome Method Of Estimation Of Parameters Of Lindley Distribution By Order Statistics," Statistics in Transition New Series, Statistics Poland, vol. 19(4), pages 597-620, December.
  46. Volkan Soner Özsoy & Mehmet Güray Ünsal & H. Hasan Örkcü, 2020. "Use of the heuristic optimization in the parameter estimation of generalized gamma distribution: comparison of GA, DE, PSO and SA methods," Computational Statistics, Springer, vol. 35(4), pages 1895-1925, December.
  47. Gómez-Déniz, Emilio & Sordo, Miguel A. & Calderín-Ojeda, Enrique, 2014. "The Log–Lindley distribution as an alternative to the beta regression model with applications in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 49-57.
  48. Jodrá, P., 2010. "Computer generation of random variables with Lindley or Poisson–Lindley distribution via the Lambert W function," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(4), pages 851-859.
  49. Mario A. Rojas & Yuri A. Iriarte, 2022. "A Lindley-Type Distribution for Modeling High-Kurtosis Data," Mathematics, MDPI, vol. 10(13), pages 1-19, June.
  50. Guillermo Martínez-Flórez & Barry C. Arnold & Héctor W. Gómez, 2024. "A Bivariate Power Lindley Survival Distribution," Mathematics, MDPI, vol. 12(21), pages 1-19, October.
  51. Devendra Kumar & Anju Goyal, 2019. "Order Statistics from the Power Lindley Distribution and Associated Inference with Application," Annals of Data Science, Springer, vol. 6(1), pages 153-177, March.
  52. Duha Hamed & Ahmad Alzaghal, 2021. "New class of Lindley distributions: properties and applications," Journal of Statistical Distributions and Applications, Springer, vol. 8(1), pages 1-22, December.
  53. Yaoting Yang & Weizhong Tian & Tingting Tong, 2021. "Generalized Mixtures of Exponential Distribution and Associated Inference," Mathematics, MDPI, vol. 9(12), pages 1-22, June.
  54. Pedro L. Ramos & Francisco Louzada, 2019. "A Distribution for Instantaneous Failures," Stats, MDPI, vol. 2(2), pages 1-12, May.
  55. Shanker R & Kamlesh KK & Fesshaye H, 2017. "A Two Parameter Lindley Distribution: Its Properties and Applications," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 1(4), pages 85-90, May.
  56. Cesar Augusto Taconeli & Suely Ruiz Giolo, 2020. "Maximum likelihood estimation based on ranked set sampling designs for two extensions of the Lindley distribution with uncensored and right-censored data," Computational Statistics, Springer, vol. 35(4), pages 1827-1851, December.
  57. Harshita Kumawat & Kanak Modi & Pankaj Nagar, 2024. "Modi-Weibull Distribution: Inferential and Simulation Study," Annals of Data Science, Springer, vol. 11(6), pages 1975-1999, December.
  58. Rama Shanker, 2016. "Sujatha Distribution And Its Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 17(3), pages 391-410, September.
  59. Ghitany, M.E. & Alqallaf, F. & Al-Mutairi, D.K. & Husain, H.A., 2011. "A two-parameter weighted Lindley distribution and its applications to survival data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(6), pages 1190-1201.
  60. Jaime S. Castillo & Inmaculada Barranco-Chamorro & Osvaldo Venegas & Héctor W. Gómez, 2023. "Slash-Weighted Lindley Distribution: Properties, Inference, and Applications," Mathematics, MDPI, vol. 11(18), pages 1-14, September.
  61. K. Muralidharan & Pratima Bavagosai, 2023. "Instantaneous failure analysis on Lindley distribution under progressive type II censoring," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(4), pages 1312-1339, August.
  62. Mehdi Jabbari Nooghabi, 2021. "Comparing estimation of the parameters of distribution of the root density of plants in the presence of outliers," Environmetrics, John Wiley & Sons, Ltd., vol. 32(5), August.
  63. Ahmed M. T. Abd El-Bar & Willams B. F. da Silva & Abraão D. C. Nascimento, 2021. "An Extended log-Lindley-G Family: Properties and Experiments in Repairable Data," Mathematics, MDPI, vol. 9(23), pages 1-15, December.
  64. Shukla Kamlesh Kumar & Shanker Rama, 2018. "Power Ishita Distribution And Its Application To Model Lifetime Data," Statistics in Transition New Series, Statistics Poland, vol. 19(1), pages 135-148, March.
  65. Amal S. Hassan & Said G. Nassr, 2019. "Power Lindley-G Family of Distributions," Annals of Data Science, Springer, vol. 6(2), pages 189-210, June.
  66. Zeghdoudi Halim & Nouara Lazri & Yahia Djabrane, 2018. "Lindley Pareto Distribution," Statistics in Transition New Series, Statistics Poland, vol. 19(4), pages 671-692, December.
  67. R. Shanker, 2016. "Sujatha Distribution and its Applications," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 17(3), pages 391-410, September.
  68. V. Ranjbar & M. Alizadeh & G. G. Hademani, 2018. "Extended Exponentiated Power Lindley Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 621-643, December.
  69. Qiqing Y & Diao Q, 2017. "Consistency of the Semi-Parametric MLE under the Piecewise Proportional Hazards Models with Interval-Censored Data," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 3(2), pages 20-25, October.
  70. Ahmed Hurairah & Abdelhakim Alabid, 2020. "Beta transmuted Lomax distribution with applications," Statistics in Transition New Series, Polish Statistical Association, vol. 21(2), pages 13-34, June.
  71. Gómez-Déniz, E., 2018. "Adding a parameter to the exponential and Weibull distributions with applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 108-119.
  72. Oliveira, Ricardo P. & Achcar, Jorge A. & Mazucheli, Josmar & Bertoli, Wesley, 2021. "A new class of bivariate Lindley distributions based on stress and shock models and some of their reliability properties," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
  73. Ahlam H. Tolba & Chrisogonus K. Onyekwere & Ahmed R. El-Saeed & Najwan Alsadat & Hanan Alohali & Okechukwu J. Obulezi, 2023. "A New Distribution for Modeling Data with Increasing Hazard Rate: A Case of COVID-19 Pandemic and Vinyl Chloride Data," Sustainability, MDPI, vol. 15(17), pages 1-31, August.
  74. D. J. Best & J. C. W. Rayner, 2018. "Smooth Tests of Fit for the Lindley Distribution," Stats, MDPI, vol. 1(1), pages 1-6, July.
  75. Wenhao Gui & Huainian Zhang & Lei Guo, 2017. "The Complementary Lindley-Geometric Distribution and Its Application in Lifetime Analysis," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(2), pages 316-335, November.
  76. Ané van der Merwe & Johannes T. Ferreira, 2022. "An Adapted Discrete Lindley Model Emanating from Negative Binomial Mixtures for Autoregressive Counts," Mathematics, MDPI, vol. 10(21), pages 1-21, November.
  77. Shanker Rama, 2016. "Sujatha Distribution and its Applications," Statistics in Transition New Series, Statistics Poland, vol. 17(3), pages 391-410, September.
  78. Majid Hashempour & Morad Alizadeh & Haitham M. Yousof, 2024. "A New Lindley Extension: Estimation, Risk Assessment and Analysis Under Bimodal Right Skewed Precipitation Data," Annals of Data Science, Springer, vol. 11(6), pages 1919-1958, December.
  79. M. R. Irshad & R. Maya, 2018. "On A Less Cumbersome Method Of Estimation Of Parameters Of Lindley Distribution By Order Statistics," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 597-620, December.
  80. Chien-Wei Wu & Armin Darmawan & Nien-Yun Wu, 2024. "A double sampling plan for truncated life tests under two-parameter Lindley distribution," Annals of Operations Research, Springer, vol. 340(1), pages 619-641, September.
  81. Kantar, Yeliz Mert & Usta, Ilhan & Arik, Ibrahim & Yenilmez, Ismail, 2018. "Wind speed analysis using the Extended Generalized Lindley Distribution," Renewable Energy, Elsevier, vol. 118(C), pages 1024-1030.
  82. Iman Makhdoom & Parviz Nasiri & Abbas Pak, 2016. "Bayesian approach for the reliability parameter of power Lindley distribution," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 7(3), pages 341-355, September.
  83. Udochukwu Victor Echebiri & Nosakhare Liberty Osawe & Chukwuemeka Thomas Onyia, 2025. "Omega $${{\omega}}$$ ω —Type Probability Models: A Parametric Modification of Probability Distributions," Annals of Data Science, Springer, vol. 12(3), pages 855-876, June.
  84. Devendra Kumar & Anju Goyal, 2019. "Generalized Lindley Distribution Based on Order Statistics and Associated Inference with Application," Annals of Data Science, Springer, vol. 6(4), pages 707-736, December.
  85. Shahram Yaghoobzadeh Shahrastani & Masoud Yarmohammadi, 2019. "The best single-observational and two-observational percentile estimations in the exponentiated Weibull-geometric distribution compared with maximum likelihood and percentile estimations," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(4), pages 525-532, August.
  86. Jiaxin Nie & Wenhao Gui, 2019. "Parameter Estimation of Lindley Distribution Based on Progressive Type-II Censored Competing Risks Data with Binomial Removals," Mathematics, MDPI, vol. 7(7), pages 1-15, July.
  87. A. Mishra & R. Shanker, 2013. "A two-parameter Lindley distribution," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(1), pages 45-56, March.
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