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The Weibull distribution is a good candidate for accurate probabilistic model with its rich shape-forming ability and relatively simple CDF (cumulative distribution function). If there are sufficient information to get convincible mean and variance for a probabilistic event, reliable parameters of the Weibull distribution can be determined uniquely. However, sufficient information is not given as usual There needs more deliberate model building method for that case. This paper presents an effective parameter estimation technique for Weibull distribution with limited failure data.