Anoop Kumar

ORCID: 0000-0003-2775-6548
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About
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Research Areas
  • Survey Sampling and Estimation Techniques
  • Statistical Distribution Estimation and Applications
  • Statistical Methods and Bayesian Inference
  • Advanced Statistical Methods and Models
  • Bayesian Methods and Mixture Models
  • Advanced Statistical Process Monitoring
  • Diabetes Treatment and Management
  • Probabilistic and Robust Engineering Design
  • Statistical Methods and Inference
  • Diabetes Management and Research
  • Diabetes, Cardiovascular Risks, and Lipoproteins
  • Metabolism, Diabetes, and Cancer
  • Oral Health Pathology and Treatment
  • Survey Methodology and Nonresponse
  • Structural Health Monitoring Techniques
  • Dental Research and COVID-19
  • dental development and anomalies
  • Diabetes Management and Education
  • Hyperglycemia and glycemic control in critically ill and hospitalized patients
  • Cardiac Imaging and Diagnostics
  • Liver Disease Diagnosis and Treatment
  • Diabetes and associated disorders
  • Oral and Maxillofacial Pathology
  • Advanced Causal Inference Techniques
  • HIV Research and Treatment

Central University of Haryana
2024-2025

University of Lucknow
2025

Delhi Pharmaceutical Science and Research University
2024

Amity University
2022-2024

Dr. Shakuntala Misra National Rehabilitation University
2020-2023

Government Medical College
2023

University of Kansas Medical Center
2021

Teerthanker Mahaveer University
2021

Institute of Medical Sciences
2016-2020

Banaras Hindu University
2020

Multinucleated giant cells (MNCs) form an integral part of numerous bone and soft tissue tumors, tumor-like lesions are often associated with granulomas immunological nonimmunological origin. The presence various types depends on the in which they present difficult to be diagnosed under routine histological techniques. Immunohistochemistry can used for a better diagnosis understanding origin using markers immune response like human leukocyte antigen-DR (HLA-DR) those expressed monocytes...

10.4103/0970-9290.162872 article EN cc-by-nc-sa Indian Journal of Dental Research 2015-01-01

The present study suggests an enhanced class of estimators for the population mean estimation utilizing simple random sampling (SRS). bias, square errors (MSE), and minimum MSE suggested are computed to approximation order one. efficiency conditions obtained by comparing proposed existing estimators. An empirical investigation is carried out using some real artificially generated symmetric asymmetric populations. findings observed be positive, clearly demonstrating preponderance over

10.1080/27684520.2024.2335949 article EN cc-by-nc Research in Statistics 2024-04-04

It is well known that ranked set sampling (RSS) more efficient than simple random (SRS). Furthermore, the presence of missing data vitiates conventional results. Only a minuscule amount work has been conducted under RSS with data. This paper makes modest attempt to provide some difference- and ratio-type imputation methods in values RSS. The envisaged are demonstrated better results existing methods. theoretical enhanced by computational analysis using real hypothetically generated symmetric...

10.3390/axioms12060558 article EN cc-by Axioms 2023-06-05

In this article, we offer simple random sampling (SRS) based efficient class of estimators population mean Y¯ utilizing additional information. The expression the square error proposed is deduced up to first degree approximation. efficiency conditions are established which enhanced numerically a simulation study consummated over symmetrical and asymmetrical populations. Real data sets also utilized exemplify suggested estimators. numerical findings appeared rather acceptable demonstrating...

10.1016/j.aej.2024.02.003 article EN cc-by Alexandria Engineering Journal 2024-02-12

The data we encounter in real life often contain missing values. In sampling methods, value imputation is done with different methods. This article proposes novel logarithmic type methods for estimating the population mean presence of under ranked set (RSS). According to determined theoretical results, proposed are found be most efficient comparison popularly known like imputation, Al-Omari and Bouza (2014) Sohail et al. (2018) Bhushan Pandey (2016) utilizing RSS. Apart from this, a...

10.1080/15366367.2023.2247692 article EN Measurement Interdisciplinary Research and Perspectives 2024-03-01

This article examines the new inverse unit exponential distribution, utilizing both classical and Bayesian methodologies; it begins by presenting general properties of proposed model, highlighting characteristic features, such as presence a reverse-J or increasing inverted bathtub-shaped hazard rate function. Furthermore, explores various statistical suggested distribution. It employs 12 methods to estimate associated parameters. A Monte Carlo simulation is conducted evaluate accuracy...

10.1063/5.0210828 article EN cc-by AIP Advances 2024-05-01

Probability-arisen models play a considerable role in preparing crucial stage for decision-making concerning reliability, engineering, and more closely related scenarios. Bearing mind the consequential roles of probability-arisen models, we introduce implement new probabilistic model that has arisen by using sine function, namely, very flexible Weibull (SVF-Weibull) distribution. The proposed SVF-Weibull distribution is result combination with sine-based strategy. For distribution, point...

10.1016/j.aej.2024.05.059 article EN cc-by Alexandria Engineering Journal 2024-05-29

Missing data is an obligatory phenomenon in most of the sample surveys and when it not handled cautiously at beginning study, outcomes may result to substantial biases survey estimates. Retaining such evidences into cognizance, this paper proffers few possible improved imputation methods figure out problem missing starting study computation procedure population mean using simple random sampling. The characteristics proffered are ascertained till first order approximation pursued by a...

10.1080/03610918.2021.2006713 article EN Communications in Statistics - Simulation and Computation 2022-02-02

10.1016/j.cam.2022.114214 article EN Journal of Computational and Applied Mathematics 2022-03-04

One of the most useful indicators relative dispersion is coefficient variation. The characteristics variation have contributed to its widespread use in scientific and academic disciplines, with real life applications. traditional estimators are based on conventional moments; therefore, these highly affected by presence extreme values. In this article, we develop some novel calibration-based for study variable under double stratified random sampling (DSRS) using robust features linear (L TL)...

10.3390/math11010252 article EN cc-by Mathematics 2023-01-03

Ranked set sampling (RSS) is known to increase the efficiency of estimators while comparing it with simple random sampling. The problem missingness creates a gap in information that needs be addressed before proceeding for estimation. Negligible amount work has been carried out deal utilizing RSS. This paper proposes some logarithmic type methods imputation estimation population mean under RSS using auxiliary information. properties suggested procedures are examined. A simulation study...

10.1038/s41598-024-68940-4 article EN cc-by-nc-nd Scientific Reports 2024-08-04

This research commences a unit statistical model named power new function distribution, exhibiting thorough analysis of its complementary properties. We investigate the advantages model, and some fundamental distributional properties are derived. The study aims to improve insight application by presenting quantitative qualitative perceptions. To estimate three unknown parameters we carefully examine various methods: maximum likelihood, least squares, weighted Anderson-Darling, Cramér-von...

10.1038/s41598-024-57390-7 article EN cc-by Scientific Reports 2024-03-27

This paper addresses some classes of combined and separate imputation methods (CSIMs) the population mean under stratified simple random sampling (SSRS) along with their characteristics. To best our knowledge, these (IMs) have yet not been studied by any author SSRS, hence IMs are called 'novel'. In addition, existing CSIMs distinguished as members suggested CSIMs, respectively. The theoretical conditions which proposed perform better obtained comparing IMs. validate findings, numerical...

10.1016/j.aej.2024.03.088 article EN cc-by Alexandria Engineering Journal 2024-04-04

This paper proposes some optimal classes of estimators under ranked set sampling. We have acquainted modifications the difference and ratio type sampling, considered by various authors like Hansen et al., Srivastava, Walsh in simple random demonstrated that efficiency proposed are always better than other existing estimators. The theoretical results been supported a simulation study carried out over an artificially generated population.

10.1080/03610926.2020.1777431 article EN Communication in Statistics- Theory and Methods 2020-06-12

This article examines the issue of population mean estimation utilizing past and present data in form an exponentially weighted moving average (EWMA) statistic under simple random sampling (SRS). We suggest memory-type logarithmic estimators derive their properties, such as mean-square error (MSE) bias up to a first-order approximation. Using EWMA statistic, conventional novel are compared. Real artificial populations used examples illustrate theoretical findings. According empirical...

10.3390/math11092125 article EN cc-by Mathematics 2023-04-30

In this paper, we intend to utilize the multi auxiliary information available under RSS for imputation of missing data. The mean imputation, regression methods, and power transformation method are identified as special cases proposed methods. These methods dominated by theoretical comparison provides dominance conditions over their conventional counterparts. support findings, a simulation study is considered hypothetically generated population. Furthermore, some real data examples also...

10.1080/03610918.2023.2288796 article EN Communications in Statistics - Simulation and Computation 2023-11-30

This manuscript develops few efficient difference and ratio kinds of imputations to handle the situation missing observations given that these are polluted by measurement errors (ME). The mean square developed studied primary degree approximation adopting Taylor series expansion. proposed equated with latest existing presented in literature. execution is assessed utilizing a broad empirical study some real hypothetically created populations. Appropriate remarks made for sampling respondents...

10.1016/j.heliyon.2024.e26864 article EN cc-by-nc Heliyon 2024-02-28

Probability-based methodologies have gained widespread recognition for their pivotal role in steering decision-making contexts marked by uncertainty or vagueness. In order to guarantee that decisions made these circumstances are both significant and impactful, various focused on probability been devised utilized. This study seeks significantly enrich the existing literature proposing a new model termed weighted sine exponentiated Weibull distribution. Certain characteristics obtained...

10.1016/j.aej.2024.08.059 article EN cc-by-nc-nd Alexandria Engineering Journal 2024-08-24

This study introduces some novel classes of estimators using ranked set sampling to evaluate the population mean utilizing additional information on an auxiliary variable. The suggested include mostly prominent and are found be more efficient regarding other existing available till date. efficiency conditions derived under which discussed dominate over estimators. Further, justify propositions this article, a computational is executed real hypothetically produced populations results rather...

10.1016/j.aej.2021.11.001 article EN cc-by-nc-nd Alexandria Engineering Journal 2021-11-15

This paper considers some efficient combined and separate classes of estimators the population mean in presence bivariate auxiliary information under stratified ranked set sampling. The square error (MSE) expressions proffered are derived to first order approximation. theoretical conditions obtained which perform better than existing class estimators. Subsequently, numerical simulation studies performed using real artificially generated populations. results found be rewarding, showing...

10.1155/2022/6196142 article EN cc-by Journal of Mathematics 2022-01-01

<p>In this article, we explore how to efficiently estimate the population mean utilizing past and current sample information through exponentially weighted moving average (EWMA) statistics in temporal surveys. We propose some optimal classes of memory-type estimators for surveys within framework simple random sampling (SRS). derive expressions bias square error (MSE) suggested up first-order approximation. compare traditional newly introduced establish efficiency conditions. Moreover,...

10.3934/math.2025048 article EN cc-by AIMS Mathematics 2025-01-01
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