REFERENCES

We will discuss the recent results on the exact likelihood ratio tests of scale and homogene-ity hypotheses when samples are from exponential, Erlang, gamma, Weibull and generalized gamma distributions. We will derive the exact distribution of the likelihood ratio tests and discuss their properties. The asymptotical tests are typically oversized and thus inappropriate for small samples. We will focus on the reliability prediction when some data is missing or is censored. The reliability prediction when some data is missing plays a major role in many reli-ability programs (e.g. for a variety of reasons over 90 % of the data in the Reliability Analysis Center does not have the individual failure times recorded. Inference for Type I and progres-sively Type II censored data from exponential distribution will be provided. The competing risk model, often modelled by the mixture, will be also mentioned