1,054
Views
52
CrossRef citations to date
0
Altmetric
Original Articles

The generalized inverse Lindley distribution: A new inverse statistical model for the study of upside-down bathtub data

, , &
Pages 5709-5729 | Received 25 Oct 2013, Accepted 18 Jul 2014, Published online: 19 Jul 2016

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (13)

Mojammel Haque Sarkar, Manas Ranjan Tripathy & Debasis Kundu. (2024) Estimating parameters from the generalized inverse Lindley distribution under hybrid censoring scheme. Communications in Statistics - Theory and Methods 53:7, pages 2483-2515.
Read now
A. Asgharzadeh, M. Alizadeh & M. Z. Raqab. (2024) Inverse Lindley distribution: different methods for estimating their PDF and CDF. Journal of Statistical Computation and Simulation 94:3, pages 604-623.
Read now
Jimmy Reyes, Jaime Arrué, Osvaldo Venegas & Héctor W. Gómez. (2022) The modified slash Lindley–Weibull distribution with applications to nutrition data. Journal of Applied Statistics 49:16, pages 4206-4224.
Read now
Vikas Kumar Sharma, Sudhanshu V. Singh & Komal Shekhawat. (2022) Exponentiated Teissier distribution with increasing, decreasing and bathtub hazard functions. Journal of Applied Statistics 49:2, pages 371-393.
Read now
Christophe Chesneau, Lishamol Tomy & Jiju Gillariose. (2021) A new modified Lindley distribution with properties and applications. Journal of Statistics and Management Systems 24:7, pages 1383-1403.
Read now
Sandeep K. Maurya, Abhimanyu Singh Yadav, Sanjay K. Singh & Umesh Singh. (2021) A new flexible logarithmic transform heavy-tailed distribution and its applications. Journal of Statistics and Management Systems 24:5, pages 917-950.
Read now
Fatma Gul Akgul, Keming Yu & Birdal Senoglu. (2021) Estimation of the system reliability for generalized inverse Lindley distribution based on different sampling designs. Communications in Statistics - Theory and Methods 50:7, pages 1532-1546.
Read now
Pedro L. Ramos, Alex L. Mota, Paulo H. Ferreira, Eduardo Ramos, Vera L. D. Tomazella & Francisco Louzada. (2021) Bayesian analysis of the inverse generalized gamma distribution using objective priors. Journal of Statistical Computation and Simulation 91:4, pages 786-816.
Read now
Vikas Kumar Sharma & Sanku Dey. (2019) Estimation of reliability of multicomponent stress-strength inverted exponentiated Rayleigh model. Journal of Industrial and Production Engineering 36:3, pages 181-192.
Read now
Emílio A. Coelho-Barros, Josmar Mazucheli, Jorge A. Achcar, Kelly Vanessa Parede Barco & José Rafael Tovar Cuevas. (2018) The inverse power Lindley distribution in the presence of left-censored data. Journal of Applied Statistics 45:11, pages 2081-2094.
Read now
Vikas Kumar Sharma. (2018) Bayesian analysis of head and neck cancer data using generalized inverse Lindley stress–strength reliability model. Communications in Statistics - Theory and Methods 47:5, pages 1155-1180.
Read now
Vikas Kumar Sharma, Hassan S. Bakouch & Khushboo Suthar. (2017) An extended Maxwell distribution: Properties and applications. Communications in Statistics - Simulation and Computation 46:9, pages 6982-7007.
Read now
Vikas Kumar Sharma, Sanjay Kumar Singh, Umesh Singh & Varun Agiwal. (2015) The inverse Lindley distribution: a stress-strength reliability model with application to head and neck cancer data. Journal of Industrial and Production Engineering 32:3, pages 162-173.
Read now

Articles from other publishers (39)

Intekhab Alam, Murshid Kamal, Mohammad Tariq Intezar, Saqib Showkat Wani & Imran Alam. (2022) Statistical Analysis from the Generalized Inverse Lindley Distribution with Adaptive Type-II Progressively Hybrid Censoring Scheme. Annals of Data Science 11:2, pages 479-506.
Crossref
Julio Majesty Rasjid, Siti Nurrohmah & Ida Fithriani. (2024) Alpha power inverse Weibull distribution: A new lifetime distribution with application to gastric cancer data. ITM Web of Conferences 61, pages 01009.
Crossref
Majid Hashempour, Morad Alizadeh & Haitham M. Yousof. (2023) A New Lindley Extension: Estimation, Risk Assessment and Analysis Under Bimodal Right Skewed Precipitation Data. Annals of Data Science.
Crossref
Mohammad Al-Talib, Amjad Al-Nasser & Enrico Ciavolino. (2023) GOLD DISTRIBUTION Another Look on the Generalization of Lindely Distribution. Pakistan Journal of Statistics and Operation Research, pages 241-256.
Crossref
Reza Azimi, Mahdy Esmailian & Diego I. Gallardo. (2023) The inverted exponentiated Chen distribution with application to cancer data. Japanese Journal of Statistics and Data Science 6:1, pages 213-241.
Crossref
Bowen Liu & Malwane M. A. Ananda. (2023) A New Insight into Reliability Data Modeling with an Exponentiated Composite Exponential-Pareto Model. Applied Sciences 13:1, pages 645.
Crossref
Muhammad Ahsan-ul-Haq, Sabahat Maqsood Choudhary, Ali Hussein AL-Marshadi & Muhammad Aslam. (2022) A new generalization of Lindley distribution for modeling of wind speed data. Energy Reports 8, pages 1-11.
Crossref
Devendra Kumar & Vikas Kumar Sharma. (2022) An Extension of Exponentiated Gamma Distribution: A New Regression Model with Application. Lobachevskii Journal of Mathematics 43:9, pages 2525-2543.
Crossref
Hossein PASHA-ZANOOSİ & Ahmad POURDARVİSH. (2022) Multicomponent stress-strength reliability based on a right long-tailed distribution. Hacettepe Journal of Mathematics and Statistics 51:2, pages 559-586.
Crossref
Mashail M. AL Sobhi. (2022) Modelling to Engineering Data: Using a New Two-Parameter Lifetime Model. Journal of Function Spaces 2022, pages 1-9.
Crossref
Muhammad Shoaib, Irum Sajjad Dar, Muhammad Ahsan-ul-Haq & Rana Muhammad Usman. (2021) A sustainable generalization of inverse Lindley distribution for wind speed analysis in certain regions of Pakistan. Modeling Earth Systems and Environment 8:1, pages 625-637.
Crossref
Maha A. Aldahlan. (2022) Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model. Journal of Mathematics 2022, pages 1-11.
Crossref
Devendra Kumar, Mazen Nassar, Sanku Dey & Farouq Mohammad A. Alam. (2021) On estimation procedures of constant stress accelerated life test for generalized inverse lindley distribution. Quality and Reliability Engineering International 38:1, pages 211-228.
Crossref
Mohamed Kayid & Tareq Alsayed. (2022) Modeling Reliability Engineering Data Using Scale-Invariant Quasi-Inverse Lindley Model. Computers, Materials & Continua 72:1, pages 1847-1860.
Crossref
Friday Ikechukwu AguJoseph Thomas Eghwerido. (2021) Agu-Eghwerido distribution, regression model and applications. Statistics in Transition New Series 22:4, pages 59-76.
Crossref
Komal Shekhawat & Vikas Kumar Sharma. (2020) An Extension of J-Shaped Distribution with Application to Tissue Damage Proportions in Blood. Sankhya B 83:2, pages 548-574.
Crossref
Idika E. Okorie, Johnson Ohakwe, Bright O. Osu & Chris U. Onyemachi. (2021) α-Power transformed transformed power function distribution with applications. Heliyon 7:9, pages e08047.
Crossref
Sandeep Kumar Maurya, Sanjay K Singh & Umesh Singh. (2021) A New Right-Skewed Upside Down Bathtub Shaped Heavy-tailed Distribution and its Applications. Journal of Modern Applied Statistical Methods 19:1.
Crossref
Sheikh Y. Arafat, M. Pear Hossain, Jimoh Olawale Ajadi & Muhammad Riaz. (2021) On the Development of EWMA Control Chart for Inverse Maxwell Distribution. Journal of Testing and Evaluation 49:2, pages 1086-1103.
Crossref
V. D. Maharani, D. Lestari & S. Devila. Extended Inverse Lindley distribution. Extended Inverse Lindley distribution.
Anna Malinova, Olga Rahneva, Nikolay Pavlov, Angel Golev & Vesselin Kyurkchiev. A look at the Garima cumulative distribution function some related problems. A look at the Garima cumulative distribution function some related problems.
Devendra Kumar, Mazen Nassar & Sanku Dey. (2020) Inference for generalized inverse Lindley distribution based on generalized order statistics. Afrika Matematika 31:7-8, pages 1207-1235.
Crossref
Mansour Shrahili, Naif Alotaibi, Devendra Kumar & A. R. Shafay. (2020) Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application. Complexity 2020, pages 1-14.
Crossref
Christophe Chesneau, Lishamol Tomy, Jiju Gillariose & Farrukh Jamal. (2020) The Inverted Modified Lindley Distribution. Journal of Statistical Theory and Practice 14:3.
Crossref
Rameesa Jan, T. R. Jan, Peer Bilal Ahmad & Raeesa Bashir. (2020) A New Generalization of Ailamujia Distribution with Real Life Applications. A New Generalization of Ailamujia Distribution with Real Life Applications.
Mahmoud Eltehiwy. (2020) On the Alpha Power Transformed Power Inverse Lindley Distribution. Journal of the Indian Society for Probability and Statistics 21:1, pages 201-224.
Crossref
Siyi Chen & Wenhao Gui. (2020) Statistical Analysis of a Lifetime Distribution with a Bathtub-Shaped Failure Rate Function under Adaptive Progressive Type-II Censoring. Mathematics 8:5, pages 670.
Crossref
Yuancheng Si & Saralees Nadarajah. (2018) Lindley Power Series Distributions. Sankhya A 82:1, pages 242-256.
Crossref
Mahmoud Eltehiwy. (2020) Logarithmic inverse Lindley distribution: Model, properties and applications. Journal of King Saud University - Science 32:1, pages 136-144.
Crossref
Vikas Kumar Sharma. 2020. Handbook of Probabilistic Models. Handbook of Probabilistic Models 265 287 .
P. Kavya & M. Manoharan. 2020. Applied Probability and Stochastic Processes. Applied Probability and Stochastic Processes 281 291 .
Mahmoud Eltehiwy. (2019) Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications. Journal of the Indian Society for Probability and Statistics 20:2, pages 281-300.
Crossref
Sanku Dey, Indranil Ghosh & Devendra Kumar. (2018) Alpha-Power Transformed Lindley Distribution: Properties and Associated Inference with Application to Earthquake Data. Annals of Data Science 6:4, pages 623-650.
Crossref
Morad Alizadeh, Emrah Altun, Gamze Ozel, Mahmoud Afshari & Abbas Eftekharian. (2018) A New Odd Log-Logistic Lindley Distribution with Properties and Applications. Sankhya A 81:2, pages 323-346.
Crossref
Sanku Dey, Mazen Nassar & Devendra Kumar. (2019) Alpha power transformed inverse Lindley distribution: A distribution with an upside-down bathtub-shaped hazard function. Journal of Computational and Applied Mathematics 348, pages 130-145.
Crossref
József Dombi, Tamás Jónás, Zsuzsanna E. Tóth & Gábor Árva. (2018) The omega probability distribution and its applications in reliability theory. Quality and Reliability Engineering International 35:2, pages 600-626.
Crossref
Mehrzad Ghorbani, Seyed Fazel Bagheri & Mojtaba Alizadeh. (2017) A New Family of Distributions: The Additive Modified Weibull Odd Log-logistic-G Poisson Family, Properties and Applications. Annals of Data Science 4:2, pages 249-287.
Crossref
Vikas Kumar Sharma, Sanjay Kumar Singh & Umesh Singh. (2017) Classical and Bayesian methods of estimation for power Lindley distribution with application to waiting time data. Communications for Statistical Applications and Methods 24:3, pages 193-209.
Crossref
Said Hofan Alkarni. (2015) Extended inverse Lindley distribution: properties and application. SpringerPlus 4:1.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.