A Strict Interval Estimation for Percentage with Empirical Comparisons.

• Main Authors: Hsin-nan Tsai, 蔡欣男
• Other Authors: none
• Format: Others
• Language: en_US
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/51228770575712502370

碩士 === 國立中正大學 === 統計科學所 === 94 === The obtained confidence interval from using Central Limit Theorem (CLT) is an approximate solution. On the other hand, the confidence interval obtained by using Chebyshev's inequality is strict but crude. In this work, we provide a new method that leads us to a strict confidence interval which is close to the outcome from using CLT. We primarily study interval estimation for percentage. We apply Edgeworth expansion and Berry-Esseen inequality to modify the results of using CLT for purpose of doing comparison. We also apply the new method to obtain a strict solution instead of an approximate solution regarding population percentage p.