Adaptive estimation: Fuzzy data-driven gamma distribution via Bayesian and maximum likelihood approaches Abbarapu Ashok, Nadiminti Nagamani Aims Mathematics, 2025 <p>Integrating fuzzy concepts into statistical estimation offers considerable advantages by enhancing both the accuracy and reliability of parameter estimations, irrespective of the sample size and technique used. This study specifically examined the improvement of parameter estimation accuracy when dealing with fuzzy data, with a focus on the gamma distribution. We explored and evaluated a variety of estimation techniques for determining the scale parameter $ \\eta $ and shape parameter $ \\rho $ of the gamma distribution, employing both maximum likelihood (ML) and Bayesian methods. In the case of ML estimates, the expectation-maximization (EM) algorithm and the Newton-Raphson (NR) method were applied, with confidence intervals constructed using the Fisher information matrix. Additionally, the highest posterior density (HPD) intervals were derived through Gibbs sampling. For Bayesian estimates, the Tierney and Kadane (TK) approximation and Gibbs sampling were used to enhance the estimation process. A thorough performance comparison was undertaken using a simulated fuzzy dataset of the lifetimes of rechargeable batteries to assess the effectiveness of these methods. The methods were evaluated by comparing the estimated parameters to their true values using mean squared error (MSE) as a metric. Our findings demonstrate that the Bayesian approach, particularly when combined with the TK method, consistently produces more accurate and reliable parameter estimates compared to traditional methods. These results underscore the potential of Bayesian techniques in addressing fuzzy data and enhancing precision in statistical analyses.</p>
Simultaneous Estimation of Quantiles for Two Normal Populations with Common Mean and Ordered Variances with Some Real Life Applications N Nagamani, MR Tripathy Journal of the Indian Society for Probability and Statistics, 1-31 , 2026 2026
Robust Parameter Estimation for Dual-population Weibull Models under Fuzzy Data Conditions A Ashok, N Nagamani Model Assisted Statistics and Applications, 15741699261424805 , 2025 2025
Parameter Estimation for Two Logistic Populations with Fuzzy Data: A Comparative Study of MLE and Bayesian Methods L Vijay Kumar, N Nagamani, RK Davala Model Assisted Statistics and Applications, 15741699261424809 , 2025 2025
Fuzzy data modeling and parameter estimation in two gamma populations VK Lingutla, N Nadiminti IEEE Access , 2025 2025 Citations: 2
Inference drawn on logistic distribution in the presence of fuzzy data: Classical and Bayesian approach LV Kumar, N Nagamani Mitteilungen Klosterneuburg , 2025 2025 Citations: 1
INFERENCES DRAWN ON COMMON SCALE PARAMETER OF TWO POPULATIONS USING RAINFALL DATA VK Lingutla, N Nagamani, PS Brahmanandam Proceedings on Engineering 7 (1), 251-266 , 2025 2025
FUZZY DATA-DRIVEN ESTIMATION FOR DUAL WEIBULL POPULATIONS: EM AND BAYESIAN METHODS WITH GIBBS SAMPLING A Ashok, N Nagamani Reliability: Theory & Applications 20 (2 (84)), 479-492 , 2025 2025
COMPARATIVE ANALYSIS OF BAYESIAN ESTIMATION TECHNIQUES FOR GAMMA DISTRIBUTIONS VK Lingutla, N Nadiminti, RK Davala Reliability: Theory & Applications 20 (2 (84)), 101-111 , 2025 2025 Citations: 1
ENHANCING LINDLEY DISTRIBUTION PARAMETER ESTIMATION WITH HYBRID BAYESIAN AVERAGE MODEL FOR FUZZY DATA A Ashok, N Nagamani Reliability: Theory & Applications 20 (1 (82)), 528-542 , 2025 2025 Citations: 2
Adaptive estimation: Fuzzy data-driven gamma distribution via Bayesian and maximum likelihood approaches A Ashok, N Nagamani AIMS Mathematics 10 (1), 438-459 , 2025 2025 Citations: 6
Estimating Common Parameters of Different Continuous Distributions A Ashok, N Nagamani Proceedings on Engineering Sciences 6 (3), 1273-1286 , 2024 2024 Citations: 2
BAYESIAN APPROACH FOR HEAVY-TAILED MODEL FITTING IN TWO LOMAX POPULATIONS VK Lingutla, N Nadiminti Reliability: Theory & Applications 19 (4 (80)), 132-150 , 2024 2024 Citations: 2
Estimating common scale parameter of two logistic populations: A Bayesian study N Nagamani, MR Tripathy, S Kumar American Journal of Mathematical and Management Sciences 40 (1), 44-67 , 2020 2020 Citations: 12
Improved estimation of quantiles of two normal populations with common mean and ordered variances N Nagamani, M Ranjan Tripathy Communications in Statistics-Theory and Methods 49 (19), 4669-4692 , 2020 2020 Citations: 8
Estimating Quantiles and Common Parameter in Certain Stochastic Models N Nagamani 2019
Estimating common dispersion parameter of several inverse Gaussian populations: A simulation study N Nagamani, MR Tripathy Journal of Statistics and Management Systems 21 (7), 1357-1389 , 2018 2018 Citations: 8
Estimating common scale parameter of two gamma populations: A simulation study N Nagamani, MR Tripathy American Journal of Mathematical and Management Sciences 36 (4), 346-362 , 2017 2017 Citations: 15
Estimating common shape parameter of two gamma populations: A simulation study MR Tripathy, N Nagamani Journal of Statistics and Management Systems 20 (3), 369-398 , 2017 2017 Citations: 12
MOST CITED SCHOLAR PUBLICATIONS
Estimating common scale parameter of two gamma populations: A simulation study N Nagamani, MR Tripathy American Journal of Mathematical and Management Sciences 36 (4), 346-362 , 2017 2017 Citations: 15
Estimating common scale parameter of two logistic populations: A Bayesian study N Nagamani, MR Tripathy, S Kumar American Journal of Mathematical and Management Sciences 40 (1), 44-67 , 2020 2020 Citations: 12
Estimating common shape parameter of two gamma populations: A simulation study MR Tripathy, N Nagamani Journal of Statistics and Management Systems 20 (3), 369-398 , 2017 2017 Citations: 12
Improved estimation of quantiles of two normal populations with common mean and ordered variances N Nagamani, M Ranjan Tripathy Communications in Statistics-Theory and Methods 49 (19), 4669-4692 , 2020 2020 Citations: 8
Estimating common dispersion parameter of several inverse Gaussian populations: A simulation study N Nagamani, MR Tripathy Journal of Statistics and Management Systems 21 (7), 1357-1389 , 2018 2018 Citations: 8
Adaptive estimation: Fuzzy data-driven gamma distribution via Bayesian and maximum likelihood approaches A Ashok, N Nagamani AIMS Mathematics 10 (1), 438-459 , 2025 2025 Citations: 6
Fuzzy data modeling and parameter estimation in two gamma populations VK Lingutla, N Nadiminti IEEE Access , 2025 2025 Citations: 2
ENHANCING LINDLEY DISTRIBUTION PARAMETER ESTIMATION WITH HYBRID BAYESIAN AVERAGE MODEL FOR FUZZY DATA A Ashok, N Nagamani Reliability: Theory & Applications 20 (1 (82)), 528-542 , 2025 2025 Citations: 2
Estimating Common Parameters of Different Continuous Distributions A Ashok, N Nagamani Proceedings on Engineering Sciences 6 (3), 1273-1286 , 2024 2024 Citations: 2
BAYESIAN APPROACH FOR HEAVY-TAILED MODEL FITTING IN TWO LOMAX POPULATIONS VK Lingutla, N Nadiminti Reliability: Theory & Applications 19 (4 (80)), 132-150 , 2024 2024 Citations: 2
Inference drawn on logistic distribution in the presence of fuzzy data: Classical and Bayesian approach LV Kumar, N Nagamani Mitteilungen Klosterneuburg , 2025 2025 Citations: 1
COMPARATIVE ANALYSIS OF BAYESIAN ESTIMATION TECHNIQUES FOR GAMMA DISTRIBUTIONS VK Lingutla, N Nadiminti, RK Davala Reliability: Theory & Applications 20 (2 (84)), 101-111 , 2025 2025 Citations: 1
Simultaneous Estimation of Quantiles for Two Normal Populations with Common Mean and Ordered Variances with Some Real Life Applications N Nagamani, MR Tripathy Journal of the Indian Society for Probability and Statistics, 1-31 , 2026 2026
Robust Parameter Estimation for Dual-population Weibull Models under Fuzzy Data Conditions A Ashok, N Nagamani Model Assisted Statistics and Applications, 15741699261424805 , 2025 2025
Parameter Estimation for Two Logistic Populations with Fuzzy Data: A Comparative Study of MLE and Bayesian Methods L Vijay Kumar, N Nagamani, RK Davala Model Assisted Statistics and Applications, 15741699261424809 , 2025 2025
INFERENCES DRAWN ON COMMON SCALE PARAMETER OF TWO POPULATIONS USING RAINFALL DATA VK Lingutla, N Nagamani, PS Brahmanandam Proceedings on Engineering 7 (1), 251-266 , 2025 2025
FUZZY DATA-DRIVEN ESTIMATION FOR DUAL WEIBULL POPULATIONS: EM AND BAYESIAN METHODS WITH GIBBS SAMPLING A Ashok, N Nagamani Reliability: Theory & Applications 20 (2 (84)), 479-492 , 2025 2025
Estimating Quantiles and Common Parameter in Certain Stochastic Models N Nagamani 2019