The article has mainly given the exponential distribution race and in the scale parameter race's parameter satisfies the condition which based on the chopped sample maximum likelihood estimator the stochastic order needs, but also certifies that the parameter different two mutual independent normal distribution or the two-parameters exponential distribution, under the complete sample, between the parameter maximum likelihood estimator has the stochastic order relations.At the same time, it is proved that there is also a random order relationship between the maximum likelihood estimators of the parameters under the fixed number truncated sample.