A General Family of Estimators for Estimating Population Mean Using Known Value of Some Population Parameter(s)

By M. Khoshnevisan, Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache. 2007

181 citations recorded by the source corpus.

A general family of estimators for estimating the population mean of the variable under study, which make use of known value of certain population parameter(s), is proposed. Under Simple Random Sampling Without Replacement (SRSWOR) scheme, the expressions of bias and mean-squared error (MSE) up to first order of approximation are derived. Some well known estimators have been shown as particular member of this family. An empirical study is carried out to illustrate the performance of the constructed estimator over others.

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/62709d0a96dc2bb869afa3c9224d48a531b8e673

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Citations in the corpus

Novel Log Type Class Of Estimators Under Ranked Set Sampling (2021, unknown): “Following Khoshnevisan et al. (2007), Koyuncu and Kadilar (2009) & Upadhyaya et al. (1985), Singh et al. (2014), investigated the following estimator under RSS as T̂R = λ1Ȳ[m] + λ2Ȳ[m] { aμx + b α(aX̄(m) + b) + (1− α)(aμx + b) }g where α, λ1 and λ2 are characterising scalars and g is a constant…”
Improved Family of Ratio Estimators in Simple and Stratified Random Sampling (2013, methodology): “The significant contributions in this area are due to Kadilar and Cingi (2004), Shabbir and Gupta (2006), Khoshnevisan et al. (2007), and Koyuncu and Kadilar (2009a,b, 2010).”
Improvement in Estimating the Population Mean Using Exponential Estimator in Simple Random Sampling (2009, methodology): “Sisodiya and Dwivedi (1981), Sen (1978) and Upadhyaya and Singh (1984) used the known coefficient of variation (CV) of the auxiliary character for estimating population mean of a study character in ratio method of estimation.”
An Efficient Class of Estimators for the Population Mean Using Auxiliary Information (2013, methodology): “(i) for w1 w2 = 1 0 , the class of estimators “t” reduces to the class of estimators due to Khoshnevisan et al. (2007)”
General procedure for estimating the population mean using ranked set sampling (2014, background): “[19], Koyuncu and Kadilar [20] and Upadhyaya et al.”
EFFICIENT ESTIMATORS FOR THE POPULATION MEAN (2009, background): “[2] defined a family of estimators for the population mean in simple random sampling as (2.”
Family of Estimators of Population Mean Using Two Auxiliary Variables in Stratified Random Sampling (2009, methodology): “Upadhyaya and Singh (1999), Khoshnevisan et al. (2007), etc. suggested estimators in simple random sampling, Kadilar and Cingi (2003) and Shabbir and Gupta (2005) extended these estimators for the stratified random sampling.”
On efficient median control charting (2014, background): “…and variance of study charter on ratio pattern many researchers have used information on coefficient or variation (C) and coefficient of kurtosis (b2) (Sisodia and Dwivedi 1981; Upadhyaya and Singh 1984; Singh and Kakran 1993; Rizvi and Singh 1997; Singh and Tailor 2003; Khoshnevisan et al. 2007).”