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The LR2 Lifetime Distribution: Rate Crossing, Reliability Properties, and Estimation
We study the LR2 one-parameter lifetime distribution obtained by mixing an exponential component of rate $θ/2$ and a gamma component with shape four and rate $θ^2$. The exponential mixing probability is $θ^2/(1+θ^2)$ for $θ>0$. We derive the density, survival function, moments, transforms, truncated
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