Modeling and Estimation of a Bivariate Pareto Distribution using the Principle of Maximum Entropy

In this paper we modeled a bivariate Pareto I distribution using the method of principle of maximum entropy probability distribution. Properties of the model are discussed. Further the estimation of the parameters involved in the model is done in two stages using two different methods namely, principle of maximum entropy estimation (POME) and maximum likelihood estimation. From the simulation study conducted to compare the performance of the estimates obtained by the above two methods, we conclude that POME method is performing better than MLE and the two methods are comparable

Application of Time Series Modelling for Predicting the Export Potential of Indian Leather Footwear

Indian leather industry plays a vital role in contributing towards Indian economy. Also it is the core strength of the Indian footwear industry.  According to the Indian leather industry about 37% of the total leather export value is from leather footwear. This shows the importance of studying the trends in leather footwear export, to assist in decision making process. This article proposes a time series model based on monthly export values of leather footwear from India during January, 1999 to March, 2013. In this article based on the information criterion, we identified ARIMA (1, 1, 1) (1, 2, 2) model as a reasonable model to predict the export values of leather footwear from India. This proposed model is used to forecast the export values of leather footwear for the year 2013 – 2014. Keywords: AIC, BIC, leather footwear export, forecast, SARIMA model, time serie

Serum Free Light Chain Assay as a Prognostic Marker in Patients with Aggressive B-Cell Non-Hodgkin's Lymphoma: Impact on Survival Outcome

Abstract T.M. Anoop Background The role of serum free light chain (FLC) as a prognostic biomarker in lymphoproliferative diseases is being increasingly studied. In this study we present the 5-year survival outcome for patients with aggressive B-cell non-Hodgkin's lymphoma (NHL) and their relation to FLC and other known prognostic markers. Materials and Methods This is a prospective study conducted in patients diagnosed with aggressive B-cell NHL. Serum FLC level and ratio were estimated prior to initiation of treatment. Results A total of 100 patients were included in the study from December 2013 to December 2015 with a median age of 53 years. Thirty-eight patients (38%) had elevated FLC level of which 26% were polyclonal and 12% were monoclonal elevations. Abnormal FLC ratio was noted in 12% patients. Median follow-up duration of the study was 75 months. Five-year relapse-free survival (RFS) for the study population was 54.4%. Five-year RFS was 64.1% for early stage and 48.2% for advanced stage diseases (p = 0.05). The RFS was significantly better in age less than 60 years (59.5% vs 43.8%, p < 0.001). Five-year overall survival (OS) was 61.3%. OS was significantly better in younger patients (73.6% vs 33.4%, p < 0.001), with International Prognosis Index score of 0 to 2 (87.4% vs 26.7%, p < 0.001). Patients with elevated FLC had inferior RFS (50% vs 71.4%, p = 0.04). Abnormal FLC ratio also strongly corresponded to inferior RFS (54.5% vs 66.2%, p = 0.001). OS was also significantly inferior in patients with abnormal FLC ratio (72.6% vs 63.6%, p = 0.001). Conclusion In patients with newly diagnosed aggressive B-cell NHL, elevated FLC levels and abnormal FLC ratio were significantly associated with inferior survival