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In this paper, Cauchy wavelet transform of ultra-distributions in tube domains is defined and its various properties are studied using the theory of Cauchy integrals and Poisson integrals of ultra-distributions. [ABSTRACT FROM PUBLISHER]

Exponential and Weibull models are commonly used models with former being the special case of the latter. In their most general forms, the exponential model involves both threshold and scale parameters whereas the Weibull model involves threshold, scale and shape parameters. The article analyzes the two models in a Bayesian framework and examines the feasibility of generality versus particularity in the sense that it tests for the possibility of (not) having a threshold and/or a shape parameter in the data arising from exponential (Weibull) model. The results are illustrated based on both complete and censored datasets from the models. [ABSTRACT FROM PUBLISHER]

The paper considers a lognormal model for the survival times and obtains a Bayes solution by means of Gibbs sampler algorithm when the priors for the parameters are vague. The formulation given in the paper is mainly focused for censored data problems though it is equally well applicable for complete data scenarios as well. For the purpose of numerical illustration, we considered two real data sets on head and neck cancer patients when they have been treated using either radiotherapy or chemotherapy followed by radiotherapy. The paper not only compares the survival functions for the two therapies assuming a lognormal model but also provides a model compatibility study based on predictive simulation results so that the choice of lognormal model can be justified for the two data sets. The ease of our analysis as compared to an earlier approach is certainly an advantage. [ABSTRACT FROM PUBLISHER]

In this paper the Banach-space-valued generalized functions of ultradistributions of type ( H ω μ ( A ))′ is investigated and using the theory of Hankel transformation its properties are studied. [ABSTRACT FROM AUTHOR]

Discusses how an asymptotic series of general symbol of pseudo-differential operators associated with Bessel operators are obtained. Use of the Hankel convolution; Details on the procedure used.

Analyzes the parameter lognormal distribution using Gibbs sampler. Extension of the algorithm; Effect of censoring on the analysis of lognormal model; Description of the Gibbs sampler scheme.

Gallbladder diseases, including carcinoma, are common in the northern part of India and so are Salmonella typhi infection and typhoid carrier state. This study was aimed to find out the association of typhoid carrier state in patients with cholelithiasis, carcinoma of the gallbladder, and controls. The three groups are comparable in age and sex composition. This is the first study of its kind from an area of high endemicity for both typhoid infection and carcinoma of the gallbladder. A case-control study was carried out to detect typhoid carrier state among the patients with biliary diseases and healthy controls, using indirect haemagglutination assay measuring antibodies against highly purified S. typhi Vi polysaccharide antigen. A significantly high Vi positivity was observed in patients with gallbladder carcinoma (29.4%) compared to controls (5%) (chi2 = 6.325, P < 0.004, OR = 7.19) and patients with cholelithiasis (10.7%) (chi2 = 5.066, P < 0.01, OR = 3.86). There is 8.47 times more risk of developing carcinoma of the gallbladder in culture-positive typhoid carriers than the noncarriers. The present study suggests the typhoid carrier state to be one of the possible mechanisms of gallbladder carcinogenesis. [ABSTRACT FROM AUTHOR]

Considers the full Bayes analysis of the Pareto distribution when the observations are doubly censored. Sample-based estimates of posterior distributions using Gibbs sampler algorithm; Complexities through censored data; Failure time of a component.