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The economic world is full of patterns, many of which exert a profoundinuence over society and business. One of the most contentious is the distri-bution of wealth. Way back in 1897, an Italian engineer-turned-economistnamed Vilfredo Pareto discovered a pattern in the distribution of wealththat appears to be every bit as universal as the laws of thermodynamicsor chemistry. The present paper proposes some Bayes estimators of shapeparameter of Pareto income distribution in censored sampling. AsymmetricLINEX loss function has been considered to study the eects of overesti-mation and underestimation. For the prior distribution of the parameterinvolved a number of priors including one and two-parameter exponential,truncated Erlang and doubly truncated gamma have been contemplated toexpress the belief of the experimenter s/he has regarding the parameter. Theestimators thus obtained have been compared theoretically and empiricallywith the corresponding estimators under squared error loss function, someof which were reported by Bhattacharyaet al.(1999).