Ramkrishna S. Solanki's research while affiliated with Vikram University and other places

Publications (32)

Article
Utilizing supplementary information in simple random sampling, this research paper discussed a new method for finding the finite population mean of a predictive variable, and the properties of the suggested method have been investigated. The suggested estimator’s advantages over traditional estimators are demonstrated using theoretical asymptotic t...
Article
The article suggests a class of estimators of population mean in stratified random sampling using auxiliary information with its properties. In addition, various known estimators/classes of estimators are identified as members of the suggested class. It has been shown that the suggested class of estimators under optimum condition performs better th...
Article
This article suggests an improved class of estimators for estimating the general population parameter using information on an auxiliary variable. The properties of the suggested class of estimators have been studied under large sample approximation. The general results are then applied to estimate the population coefficient of variation of study va...
Article
We suggested the class of estimators of the population mean with its bias and mean square error. It has been shown that the suggested class is more efficient than the usual unbiased, ratio, product and regression estimators and estimators due to Bahl and Tuteja (1991), Singh et al. (2009), and Upadhyaya et al. (2011). In addition an empirical study...
Article
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In this paper we have proposed some ratio-type estimators of finite population variance using known values of parameters related to an auxiliary variable such as quartiles with their properties in simple random sampling. The suggested estimators have been compared with the usual unbiased and ratio estimators and the estimators due to [2], [12, 13,...
Article
In this article, we have suggested some classes of estimators for estimating finite population median using information on an auxiliary variable. To study the properties of suggested classes of estimators under large sample approximation, a generalized class of estimators has been suggested with its properties. It has been shown that the suggested...
Article
This article suggests two generalized classes of estimators of population mean using auxiliary information in stratified random sampling. The properties of the suggested classes are derived and asymptotic optimum estimator in each class is identified with its properties. The large numbers of known estimators are members of the suggested classes suc...
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This paper suggested an alternative ratio-cum-product type class of estimators of population mean using exponentiation method in simple random sampling. Approximate bias and mean squared error formulae of the suggested class of estimators have been obtained up to first order of approximation. Asymptotic optimum estimator in the suggested class of e...
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Full-text available
This paper suggested a class of estimators for the population mean in systematic sampling using information on an auxiliary variable with its properties under large sample approximation. It has been shown that the suggested class of estimators are more general and better than the usual unbiased, Swain (1964), Shukla (1971) and usual regression esti...
Article
In this article, first we obtained the correct mean square error expression of Gupta and Shabbir’s linear weighted estimator of the ratio of two population proportions. Later we suggested the general class of ratio estimators of two population proportions. The usual ratio estimator, Wynn-type estimator, Singh, Singh, and Kaur difference-type estima...
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This paper addresses the problem of estimating the finite population variance using auxiliary information in sample surveys. Motivated by (Singh and Vishwakarma, 2009) some estimators of finite population variance have been suggested along with their properties in simple random sampling. The theoretical conditions under which the proposed estimator...
Article
In this paper, we suggest regression-type estimators for estimating the Bowley’s coefficient of skewness using auxiliary information. To the first degree of approximation, the bias and mean-squared error expressions of the regression-type estimators are obtained, and the regions under which these estimators are more efficient than the conventional...
Article
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This paper suggested a generalized class of estimators using information on two auxiliary va-riables and sampling fraction in simple random sampling. The bias and mean squared error for-mulae of suggested class have been derived under large sample approximation and compared with usual unbiased estimator and Singh’s (1967) ratio-cum-product estimato...
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This paper suggested the ratio-type and product-type exponential estimators of the population mean of a study variable through predictive approach using Bahl and Tuteja (1991) ratio-type and product-type exponential estimators as a predictor of the mean of the unobserved units of the population. Properties of the suggested estimators are studied up...
Article
This article considers some classes of estimators of the population median of the study variable using information on an auxiliary variable with their properties under large sample approximation. Asymptotic optimum estimator (AOE) in each class of estimators has been investigated along with the approximate mean square error formulae. It has been sh...
Article
Starting from the Singh et al. [28] [Current Science 57: 1331-1334] difference estimator, we define a class of estimators for the unknown variance of a survey variable on the line of Diana et al. [7] [Stat Methods Appl DOI 10.1007/s10260-010-0156-6] when auxiliary variable is available. The bias and mean square error of the estimators belonging to...
Article
Full-text available
This paper addresses the problem of estimating the population variance of variable of interest using information on an auxiliary variable in sample surveys. A new class of ratio-type estimators is proposed. In addition to some existing estimators, large number of consistent and inconsistent estimators has been identified as a member of the proposed...
Article
Full-text available
We have addressed the problem of estimation of finite population variance using known values of quartiles of an auxiliary variable. Some ratio type estimators have been proposed with their properties in simple random sampling. The suggested estimators have been compared with the usual unbiased and ratio estimators. In addition, an empirical study i...
Article
Full-text available
This paper suggested a class of estimators for the population mean of the study variable using information on an auxiliary variable with its properties under large sample approximation. The asymptotic optimum estimator in the proposed class has been identified with its properties. In addition, some existing estimators have been founded members of p...
Article
In this article we have envisaged an efficient generalized class of estimators for finite population variance of the study variable in simple random sampling using information on an auxiliary variable. Asymptotic expressions of the bias and mean square error of the proposed class of estimators have been obtained. Asymptotic optimum estimator in the...
Article
This paper suggests an efficient class of ratio and product estimators for estimating the population mean in stratified random sampling using auxiliary information. It is interesting to mention that, in addition to many, Koyuncu and Kadilar (2009), Kadilar and Cingi (2003, 2005), and Singh and Vishwakarma (2007) estimators are identified as members...
Article
This article addresses the problem of estimating the population mean in stratified random sampling using the information of an auxiliary variable. A class of estimators for population mean is defined with its properties under large sample approximation. In particular, various classes of estimators are identified as particular member of the suggeste...
Article
Full-text available
The present paper discusses the problem of estimating the finite population mean in simple random sampling. A class of estimators has been proposed using information on an auxiliary variable and its properties are studied. It has been shown that the proposed class of estimators is more efficient than the usual unbiased, ratio and product estimators...
Article
Full-text available
This paper suggests a class of estimators for estimating the finite population mean 𝑌 of the study variable 𝑦 using known population mean 𝑋 of the auxiliary variable 𝑥. Asymptotic expressions of bias and variance of the suggested class of estimators have been obtained. Asymptotic optimum estimator (AOE) in the class is identified along with its var...
Article
This paper addresses the problem of estimating the population mean with known population proportion of an auxiliary variable. A class of estimators is defined which includes the estimators recently proposed by Shabbir and Gupta (2007) [10] and Abd-Elfattah et al. (2010) [1]. The usual unbiased estimator and Naik and Gupta (1996) [15] estimator are...
Article
Full-text available
This paper deals with the problem of estimating the finite population mean using auxiliary information in simple random sampling. Firstly we have suggested a correction to the mean squared error of the estimator proposed by Gupta and Shabbir (2008). Later we have proposed a ratio type estimator and its properties are studied in simple random sampli...
Article
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This paper deals with the problem of estimating the finite population mean using auxiliary information in simple random sampling. Firstly we have suggested a correction to the mean squared error of the estimator proposed by Gupta and Shabbir [On improvement in estimating the population mean in simple random sampling. Jour. Appl. Statist. 35(5) (200...
Article
In this paper we have considered the problem of estimating the general population parameter in the presence of random non-response using an auxiliary variable in three different situations. A general family of estimators of the parameter has been suggested and its properties are studied. In particular, the problem of estimating the population coeff...
Article
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This paper introduces some generalized ratio and product methods of estimation for estimating the population total Y. In addition to many Srivenkataramana and Tracy (1979) estimators are shown as members of the proposed estimators. The properties of the suggested estimators have been studied and their merits are examined through numerical illustrat...
Article
Full-text available
This paper introduces some generalized ratio and product methods of estimation for estimating the population total Y. In addition to many Srivenkataramana and Tracy (1979) estimators are shown as members of the proposed estimators. The properties of the suggested estimators have been studied and merits are examined through numerical illustration
Article
Full-text available
This paper consider the problem of estimating the population mean under three different situations of random non–response envisaged by Singh et al (2000). Some ratio and product type estimators have been proposed and their properties are studied under an assumption that the number of sampling units on which information can not be obtained owing to...
Article
Full-text available
This paper consider the problem of estimating the population mean under three different situations of random non–response envisaged by Singh et al (2000). Some ratio and product type estimators have been proposed and their properties are studied under an assumption that the number of sampling units on which information can not be obtained owing to...

Citations

... To estimate the finite population mean of the study variable, a novel weighted estimator was presented by [14], and it was demonstrated to be more effective than previous estimators. However, the work by [15] showed that it was better than previous estimators in estimating the population mean of the research variable in the context of non-response using known values of an auxiliary variable. The studies reviewed emphasise how crucial it is to manage non-response in sample surveys and how useful it is to use auxiliary data to raise estimator accuracy. ...
... The study outcomes show that the suggested estimator is superior to the initial conventional estimators. Recently, some notable work in estimation of population mean have been accomplished by [1,2,6,7,10,11,[13][14][15][16][17][18][19] and [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. ...
... Recent works have built on both the modifications of the classical ratio or regression and the exponential ratio estimators to obtain improved efficiencies in simple random sampling. These works include [24], [10], [58], [31], [35], [35], [42], [6], [7], [8]. These works showed some improvements over the Regression estimator. ...
... Further investigation is carried out from various angles recently by many authors viz. [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24], etc. ...
... Tracy et al. (1996) and Gupta and Shabbir (2007) used information on two auxiliary variables and proposed estimators to estimate the population constants. Some other related work can be found in Singh and Singh (2001), Tripathi et al. (2002), Khoshnevisan et al. (2007), Singh et al. (2008a), Singh et al. (2008b), Singh and Kumar (2011), Singh and Solanki (2011), Singh and Malik (2014), Sharma et al. (2017), Adichwal et al. (2016), Adichwal et al. (2019), Adichwal et al. (2017), Singh et al. (2018) and Mishra and Singh (2017). ...
... where 2 , 2 are optimizing constant, and and are properly selected constants. Influenced by [39], an improved class of population mean estimator under SRSS is given by Ref. [27] suggested following enhanced classes of estimators utilizing SRSS as ...
... where,  is the constant to be determined. (12) Squaring and taking expectation of equation (11), we obtain the mean square error up to first order of approximation as: ...
... . For further recent studies in systematic sampling in presence of auxiliary information, the readers are referred to Swain (1964), Shukla (1971), Kushwaha and Singh (1989), Banarasi et al. (1993), Singh and Singh (1998), Singh et al. (2011, Singh and Solanki (2012), Singh and Jatwa (2012), Solanki and Singh (2015). ...
... Auxiliary information is information on auxiliary variables, like population mean, population variance, sample mean, sample variance, and so on which are used to improve the efficiency of estimators. Authors such as Sahai and Ray (1980), Sisodia and Dwivedi (1981), Singh and Singh (2002), Srivastava and Jhajj (1981), Solanki and Singh (2015), Singh and Solanki (2012), Singh and Tailor (2005), Kumar For estimating the population coefficient of variation, Das and Tripathi (1981) were the first to propose the estimator for the coefficient of variation when samples were selected using SRSWOR. Other works include that of Patel and Shah (2009), Gupta (2002, 2006), Archana In the current study, we proposed a ratio product estimator in the presence of population mean, population variance, sample mean, and sample variance of X for the estimation of the population coefficient of variation of the study variable Y, with the aim of obtaining a precise estimate of the parameter. ...
... Res. 9(01), 589-596 590 In present study, an effort has been made to modify the estimators of Solanki et al. (2015) under non-response. Novelty of present work lies in the fact that we have introduced the modified and generalized version of the exponential estimators proposed by Solanki et al. (2015) in presence of non response under scheme-I and scheme-II given by Singh and Joarder (1998). ...