Using extreme values and fractional raw moments for mean estimation in stratified random sampling

Shoaib ALİ; Manzoor KHAN; Javid SHABBİR

Makale detayları

Using extreme values and fractional raw moments for mean estimation in stratified random sampling

Yazarlar:

Shoaib ALİ | Manzoor KHAN | Javid SHABBİR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 2, pp.383-402

Belge Tipi:

Makale

Yayın Tarihi:

3/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000452013

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 


Unusual observations can occur in sample survey data. Mean estimator is sensitive to very large and/or small values, if included in sample. It can provide biased results and ultimately, tempted to delete from the sample data. Extreme values, if known, can be retained in data and used as the auxiliary information to increase the precision of estimate. Similarly, a known auxiliary variable is always source of improvement in precision of estimates. A transformation can be used for the auxiliary variable to get even more precised estimates. In this article, we have suggested modified estimators for finite population mean when a sample is drawn under stratified random sampling design. We used extreme values and fractional raw moments of the auxiliary variable and suggested improved ratio, product and regression type estimators. By theoretical comparison, efficiency of proposed estimators is established and numerical and simulation studies are conducted to support the theoretical results.

.

Makale detayları

Using extreme values and fractional raw moments for mean estimation in stratified random sampling

Yazarlar: Shoaib ALİ | Manzoor KHAN | Javid SHABBİR

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 2, pp.383-402

Belge Tipi: Makale

Yayın Tarihi: 3/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000452013

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Shoaib ALİ | Manzoor KHAN | Javid SHABBİR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 2, pp.383-402

Belge Tipi:

Makale

Yayın Tarihi:

3/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000452013

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X