Consistet Solutions and Related A xiomatic Results under Multicriteria Management Systems
Yu-Hsien Liao,a Ling-Yun Chung,b Wei-Shih Du,c and Shun-Chin Hod
aDepartment of Applied Mathematics, National Pingtung University, Taiwan; bGraduate School of Technological
and Vocational Education, National Yunlin University of Science and Technology, Taiwan; cDepartment of
Mathematics, National Kaohsiung Normal University, Taiwan; dChung-Jen Junior College of Nursing, Health
Sciences and Management, Taiwan
SYNOPTIC ABSTR AC T
Based on the maximal marginal contributions among activity level (decision) vectors, we introduce two solutions to investigate optimal allocation mechanisms under multicriteria management systems. Further, we offer some axiomatic results to analyze the rationalities for these two solutions. In order to modify the discrimination among the players and their activity levels, two weighted extensions are also proposed.
KEY WORDS AND PHR ASES
Maximal marginal contribution; multicriteria management system; weighted extension
Joint Optimal Decisions on Pricing and Local Advertising Policy of a Socially Responsible Dual- Channel Supply Chain
S oumita Kundua and Tripti Chakrabartib
aDepartment of Mathematics, Sister Nibedita Government General Degree College for Girls, Kolkata, India;
bDepartment of Applied Mathematics, University of Calcutta, Kolkata, India
SYNOPTIC ABSTR AC T
This article investigates a socially responsible dual channel supply chain model with local advertising, where the socially concerned manufacturer employs a direct channel and a retail channel to vend the product to their customers. The manufacturer has incorporated corporate social responsibility by accounting the consumer surplus in his total profi function. We analyze the performance of channel under manufacturer Stackelberg, retailer Stackelberg, and Nash model confiurations from the perspective of a socially responsible manufacturer. In addition, we also discuss the supply chain coordination via local promotional cost
and a revenue sharing contract.
KEY WO RDS AND PHR ASES
Dual-channel; corporate social responsibility; advertising; Stackleberg game; revenue sharing
On Log-I nverse Weibull Distribution and I ts Proper ties
C. Satheesh Kumar a and Subha R. Nairb
aDepartment of Statistics, University of Kerala, Thiruvananthapuram, India; bHHMSPB NSS College for Women,
Thiruvananthapuram, India
SYNOPTIC ABSTR AC T
In this article, we consider a wide class of life time distributions; namely, the log-inverse Weibull distribution and investigate some of its important theoretical properties. We obtain a location-scale extension of the distribution and discuss the estimation of its parameters by method of maximum likelihood.We have fitted the proposed models to certain real life data sets for illustrating their usefullness, and have conducted a brief simulation study for examining the performance of the maximum likelihood estimators of the parameters of the distribution.
KEY WO RDS AND PHR ASES
Maximum likelihood estimation; model selection; moments; order statistics; percentile measures; simulation
On the Constructin of Preliminary Test Estimators of the Reliability Characteristics for the Exponential Distribution Based on Records
Ajit Chatur vedi and Ananya M alhotra
D epar t ment of Stat istics, U niversit y of D elhi, D elhi, I ndia
SYNOPTIC ABSTR AC T
Th e one -parameter exponential distribution plays an important role in reliability theory. Two measures of reliability for exponential d istribution are considered, R( t) = P( X > t) and P = P( X > Y). Sometimes, due to past knowledge or experience, the experimenter may be in a position to make an initial guess on some of the parameters of interest. In such cases, we can provide an improved estimator by incorporating the prior information on the parameters. Preliminary test estimators (PTES) have been developed in the literature for the parameters of various distributions. To the best of the knowledge of the authors, PTES are not available for reliability functions R( t) and P. For record values from exponential distribution, we defie PTES based on uniformly minimum variance unbiased estimator (UMVUE), maximum likelihood estimator (MLE), and empirical Bayes estimator (EBE) for the powers of the parameter, R( t) and P. Bias and mean square error (MSE) expressions for the proposed estimators are derived to examine their effiency. A comparative study of diffrent methods of estimation is done through simulations, and it is established that PTES perform better than ordinary UMVUES, MLES, and EBES.
KEY WO RDS AND PHR ASES
Exponential distribution; empirical Bayes estimator; preliminar y test estimator; reco rd va l ues; M o nte Ca rl o s i m u l at i o n
Statistical Inference for the Weighted Exponent ial Distribution under Progressive Type -II Censoring with Binomial Removal
S a n k u D e y ,a Tanmay Kayal,b and Yogesh Mani Tripathib
aDepartment of Statistics, St. Anthony’s College, Shillong, Meghalaya, India; bDepartment of Mathematics, Indian
Institute of Technology Patna, Bihta, India
SYNOPTIC ABSTR AC T
In this article, we consider estimation of the unknown parameters of a weighted exponential distribution under Type II progressive censoring with binomial removals, where the number of units removed at each failure time follows a binomial distribution. Maximum likelihood and Bayes procedure are used to derive both point and interval estimates of the parameters involved in the model. The expected termination point to complete the censoring test is computed and analyzed under binomial censoring scheme. Further, the discussion has been extended to one- and two-sample prediction estimates and intervals of the future samples under Bayesian paradigm. A numerical study is conducted to compare the performance of the procedures by means of Monte Carlo simulations. Finally, real life examples are analyzed for illustrative purposes.
KEY WO RDS AND PHR ASES
Reliability; maximum likelihood estimator; Bayes estimator; binomial removals; Type II progressive censoring
