Randomly Weighted Averages on Order Statistics

• 作者: Hasanzadeh Leila Homei Hajir Mina Ghasemi
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Two-Sided POWER MOMENT WEIGHTED AVERAGES POWER DISTRIBUTION
• 年，卷（期）: 2013,（9）
• 页码范围: 1340-1346
• 页数: 7页
• 分类号: O1

摘要

We study a well-known problem concerning a random variable uniformly distributed between two independent random variables. Two different extensions, randomly weighted average on independent random variables and randomly weighted average on order statistics, have been introduced for this problem. For the second method, two-sided power random variables have been defined. By using classic method and power technical method, we study some properties for these random variables.