CHINESE ACAD SCI,SHAANXI ASTRON OBSERV,XIAN 710600,PEOPLES R CHINA
; BEIJING NORMAL UNIV,DEPT ASTRON,BEIJING 100080,PEOPLES R CHINA
; CHINESE ACAD SCI,INST HIGH ENERGY PHYS,COSM RAY & HIGH ENERGY ASTROPHYS LAB,BEIJING 100039,PEOPLES R CHINA
; CHINESE ACAD SCI,BEIJING ASTRON OBSERV,CTR YOUNG ASTRONOMER,BEIJING 100080,PEOPLES R CHINA
Using the parameter V[=((C) over bar(64))(max)/((C) over bar(1024))(max)], the ratio of expected peak counts in 64 ms and 1024 ms, proposed by Che et al. recently, we find the cosmological time dilation in short gamma-ray bursts (t(90) < 1.5 s) directly from the Burst and Transient Source Experiment catalog. The parameter V of short bursts shows a good correlation with the brightness B when we use ((C) over bar(64))(max) as a measure of brightness B rather than ((C) over bar(1024))(max), introduced by Lamb et al. in 1993. In a Friedmann universe with Omega = 1 and Lambda = 0, the estimated redshift is about 2 and the time dilation factor (TDF) with the energy correction is about 1.8. The fact that these results generally agree with those found in long bursts supports the same origin of long and short gamma-ray bursts.