Shikhar Tyagi

• Comment: Please review WP:PROMO, WP:COI and WP:AUTOBIO. Writing about yourself is strongly discouraged on Wikipedia and this is extremely unlikely to be accepted in its current form. MidnightMayhem (talk) 07:03, 16 August 2026 (UTC)

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Shikhar Tyagi
Shikhar_Tyagi_Portrait.jpg Shikhar_Tyagi_Portrait.jpg Tyagi in 2026
Born	(1993-10-26) October 26, 1993 Meerut, Uttar Pradesh, India
🏳️ Nationality	Indian
🏳️ Citizenship	India
💼 Occupation
Known for	Survival and frailty models, statistical reliability under censoring, EM algorithm software, CRAN package development
🏅 Awards	Best Young Faculty Award in Statistics (2023) Best Young Researcher Award in Statistical Sciences (2023)

Shikhar Tyagi (born 26 October 1993) is an Indian academic statistician and computational researcher. He is a Lecturer in the Department of Mathematics and Statistics at the University of the West Indies at St. Augustine, Trinidad and Tobago. His research focuses on survival analysis, frailty modeling, reliability engineering under complex censoring schemes, and parameter estimation via the Expectation–Maximization (EM) algorithm.

Tyagi is an active software developer in the R ecosystem, maintaining 41 open-source packages on the Comprehensive R Archive Network (CRAN) and the rOpenSci R-universe platform.

Early life and education

Tyagi was born in Meerut, Uttar Pradesh, India. He completed his Bachelor of Science (B.Sc.) in Mathematics, Statistics, and Economics at Meerut College in 2013, followed by a Master of Science (M.Sc.) in Statistics in 2015 and a Master of Philosophy (M.Phil.) in Statistics in 2016 from Chaudhary Charan Singh University, Meerut.

In 2022, he earned his Doctor of Philosophy (Ph.D.) in Statistics from the Central University of Rajasthan under the supervision of Arvind Pandey. His doctoral thesis, titled Some Contributions to Frailty Models for Survival Data, examined extensions of the proportional hazards model incorporating shared frailty distributions under random and left-censoring mechanisms.

Academic career

Tyagi began his teaching career as an Assistant Professor in the Department of Mathematics at GITAM (Bangalore campus) in December 2021. In September 2022, he joined the Department of Statistics and Data Science at Christ University (Bangalore) as an Assistant Professor, teaching courses in computational statistics, Bayesian inference, and econometrics.

In January 2025, Tyagi was appointed Lecturer in the Department of Mathematics and Statistics at the University of the West Indies at St. Augustine in Trinidad and Tobago, where he teaches undergraduate and postgraduate courses in multivariate analysis, advanced statistical theory, and probability.

Research and contributions

Tyagi's research addresses theoretical and applied statistical modeling with an emphasis on survival analysis, reliability engineering, and computational algorithms:

• Frailty and Survival Models: Developing bivariate and shared frailty models using Inverse Gaussian, Generalized Lindley, and Weibull baseline distributions to account for unobserved heterogeneity in clustered survival data.
• Expectation–Maximization (EM) Algorithms: Formulating automated EM routines for parameter estimation and standard error calculation under complex censoring mechanisms (including progressive Type-II, interval, and hybrid censoring), utilizing the Louis (1982) missing information principle and supplemented EM (SEM) methods.
• Statistical Quality Control: Formulating generalized process capability indices (GPCIs) under progressive censoring and non-normal lifetime models for industrial quality assurance.
• Bayesian Econometrics and Time Series: Developing Bayesian unit root testing frameworks for panel data models and linear spline trend approximations.

Statistical software

Tyagi has authored and actively maintains 41 packages published on the Comprehensive R Archive Network (CRAN) and hosted on rOpenSci R-Universe.

Package	Domain / Description	Official DOI
UniCensorEM	EM algorithm parameter estimation under 20+ censoring schemes	10.32614/CRAN.package.UniCensorEM
gpciEMprogII	Generalized process capability indices via EM estimation under progressive Type-II censoring	10.32614/CRAN.package.gpciEMprogII
MultiFrailty	Shared frailty regression models with Inverse Gaussian, Lindley, and Gamma distributions	10.32614/CRAN.package.MultiFrailty
CompRiskRel	Reliability and competing risks analysis under hybrid censoring	10.32614/CRAN.package.CompRiskRel
TKApprox	Bayesian parameter estimation using the Tierney–Kadane approximation	10.32614/CRAN.package.TKApprox
BayesPanelUR	Bayesian unit root test for panel data econometric models	10.32614/CRAN.package.BayesPanelUR
StochFracPoisson	Stochastic Poisson processes and fractional counting models	10.32614/CRAN.package.StochFracPoisson
ArvindSt	Five novel stochastic regression models with Arvind-distributed errors	10.32614/CRAN.package.ArvindSt
GammaFrailty	Gamma frailty regression models with multiple baseline distributions	10.32614/CRAN.package.GammaFrailty
UniCensor	Reproducible random sample generation under univariate censoring schemes	10.32614/CRAN.package.UniCensor
MleCensoR	Maximum likelihood estimation under arbitrary censoring schemes	10.32614/CRAN.package.MleCensoR
MAARTS	Merger and acquisition autoregressive time-series models	10.32614/CRAN.package.MAARTS
AlphaPowerHazard	Alpha-power hazard regression models for lifetime survival data	10.32614/CRAN.package.AlphaPowerHazard
coxmnar	Cox regression with missing not at random (MNAR) failure indicators	10.32614/CRAN.package.coxmnar
gofmalm	Goodness-of-fit tests for Type-II censored samples via Malmquist transform	10.32614/CRAN.package.gofmalm
Gofpt2	Goodness-of-fit testing for progressively Type-II censored samples	10.32614/CRAN.package.Gofpt2
ProcessCapabilityR	Classical and generalized process capability indices for quality control	10.32614/CRAN.package.ProcessCapabilityR
gofPHCS	Goodness-of-fit tests for progressively Type-II and hybrid censored data	10.32614/CRAN.package.gofPHCS
AdaptHyCensor	Inference and data generation for adaptive progressive hybrid censoring	10.32614/CRAN.package.AdaptHyCensor
predHCS	Point and interval prediction for censored data under hybrid schemes	10.32614/CRAN.package.predHCS
StressCensoR	Generalized stress-strength reliability estimation under censoring	10.32614/CRAN.package.StressCensoR
LugsailGR	Generalized Gelman-Rubin convergence diagnostics for MCMC	10.32614/CRAN.package.LugsailGR
MYIS	Moreau-Yosida importance sampling for statistical inference	10.32614/CRAN.package.MYIS
BayesQRCount	Adaptive Bayesian quantile regression for count data series	10.32614/CRAN.package.BayesQRCount
UniIS	Importance sampling inference for censored univariate lifetime data	10.32614/CRAN.package.UniIS
BDPTobitQR	Bayesian double-penalty Tobit quantile regression for interval-censored data	10.32614/CRAN.package.BDPTobitQR
BayesURTrend	Bayesian unit root tests for models with maintained trend components	10.32614/CRAN.package.BayesURTrend
MultiStepSSAD	Multiple-step step-stress accelerated degradation modeling	10.32614/CRAN.package.MultiStepSSAD
gpciProgTyIIImpSam	Process capability indices under progressive censoring via importance sampling	10.32614/CRAN.package.gpciProgTyIIImpSam
DepDoubleTruncKS	Kolmogorov-Smirnov tests for dependently double-truncated durations	10.32614/CRAN.package.DepDoubleTruncKS
gpciProgTyII	Generalized process capability indices under progressive Type-II censoring	10.32614/CRAN.package.gpciProgTyII
gpciImpSam	Importance sampling estimation of generalized process capability indices	10.32614/CRAN.package.gpciImpSam
ImpAdaptType2Censor	Statistical inference for improved adaptive Type-II progressive censoring	10.32614/CRAN.package.ImpAdaptType2Censor
SemiParamBernsteinDepCS	Semiparametric Bayesian regression for dependent current status data	10.32614/CRAN.package.SemiParamBernsteinDepCS
BayesSplineUR	Bayesian unit root test with maintained trend and regression splines	10.32614/CRAN.package.BayesSplineUR
UniLindleyApprox	Bayesian point estimation using Lindley's approximation under censoring	10.32614/CRAN.package.UniLindleyApprox
GammaFrailtySPC	Statistical process control based on Gamma-frailty accelerated failure time models	10.32614/CRAN.package.GammaFrailtySPC
gpciIntCensor	Generalized process capability indices for interval-censored data	10.32614/CRAN.package.gpciIntCensor
SingRegKrig	Singularity regression kriging for spatial data prediction	10.32614/CRAN.package.SingRegKrig
ModToppLeone	Modified Topp-Leone distribution properties, estimation, and applications	10.32614/CRAN.package.ModToppLeone
gofLorenz	Goodness-of-fit tests for location-scale distributions via Lorenz curves	10.32614/CRAN.package.gofLorenz

Selected publications

Single-authored articles

• Tyagi, Shikhar (2024). "On Bivariate Teissier Model using Copula: Dependence Properties, and Case Studies". International Journal of System Assurance Engineering and Management. Springer. 15 (2): 812–828. doi:10.1007/s13198-024-02266-2.
• Tyagi, Shikhar (2025). "A Study on Bivariate Inverse Topp-Leone Model to Counter Heterogeneous Data: Properties, Dependence Studies, Classical and Bayesian Estimation". Thailand Statistician. 23 (1): 181–198.

High-impact co-authored articles

• Rajballie, Aruna; Tripathi, Vrijesh; Tyagi, Shikhar; Chinchamee, Amarnath (2026). "Ensemble and Hybrid Machine Learning Models for Seasonal Water Consumption Forecasting Under Climate Variability". Civil Engineering Journal. 12 (2): 743–762. doi:10.28991/CEJ-2026-012-02-019.
• Bandyopadhayaya, Shreetama; Bundel, Rashmi; Tyagi, Shikhar; Pandey, Arvind; Mandal, Chandi C. (2020). "Can the Aging Influence Cold Environment Mediated Cancer Risk in the USA Female Population?". Journal of Thermal Biology. Elsevier. 92. Bibcode:2020JTBio..9202676B. doi:10.1016/j.jtherbio.2020.102676. PMID 32888562 .
• Tyagi, Shikhar; Pandey, Arvind; Agiwal, Varun; Chesneau, Christophe (2021). "Weighted Lindley multiplicative regression frailty models under random censored data". Computational and Applied Mathematics. Springer. 40 (8): 1–24. doi:10.1007/s40314-021-01683-1 (inactive 16 August 2026).
• Kiprotich, Gilbert; Tyagi, Shikhar; Ramos, Pedro L. (2025). "Mixture Inverse Gaussian Shared Frailty Models Based on Random Censored Data". Journal of Applied Statistics. Taylor & Francis. 52 (3): 415–435. doi:10.1080/02664763.2025.2560510. PMC 13228184 . PMID 42237988 .
• Agiwal, Varun; Tyagi, Shikhar; Chesneau, Christophe (2025). "Bayesian and frequentist estimation of stress-strength reliability from a new extended Burr XII distribution". REVSTAT – Statistical Journal. 23 (1): 55–78. doi:10.57805/revstat.v23i1.520 (inactive 16 August 2026).
• Tyagi, Shikhar; Pandey, Arvind; Chesneau, Christophe (2022). "Weighted Lindley Shared Regression Model For Bivariate Left Censored Data". Sankhya B: The Indian Journal of Statistics. Springer / Indian Statistical Institute. 84 (2): 620–648. doi:10.1007/s13571-022-00278-1.
• Tyagi, Shikhar; Pandey, Arvind; Chesneau, Christophe (2022). "Identifying the Effects of Observed and Unobserved Risk Factors Using Weighted Lindley Shared Regression Model". Journal of Statistical Theory and Practice. Springer. 16 (2): 1–26. doi:10.1007/s42519-021-00241-9.
• Tyagi, Shikhar; Agiwal, Varun; Kumar, Sumit; Chesneau, Christophe (2023). "Theory and Practice of a Bivariate Trigonometric Burr XII Distribution". Afrika Mathematica. Springer. 34 (3): 49. doi:10.1007/s13370-023-01092-2.

Book chapters

• Gupta, Pragya; Pandey, Arvind; Hanagal, David D.; Tyagi, Shikhar (2024). "Exploring the impact of latent and obscure factors on left-censored data: Bayesian Approaches and Case Study". Reliability Engineering for Industrial Processes. Springer Series in Reliability Engineering. Springer. doi:10.1007/978-3-031-50856-1. ISBN 978-3-031-50855-4. Search this book on
• Pandey, Arvind; Hanagal, David D.; Tyagi, Shikhar; Gupta, Pragya (2022). "Modeling bivariate survival data using generalized Lindley shared frailty models". Applied Statistical Methods. Springer. pp. 143–169. doi:10.1007/978-981-16-7932-2. ISBN 978-981-16-7931-5. Search this book on

Awards and honors

• Best Young Faculty Award in Statistics and Data Science, 2nd International Conference on Research Methodology (ICRM-2023), Lucknow (2023).
• Best Young Researcher Award in Statistical Sciences, 2nd International Conference on Advance Interdisciplinary Research (ICAIR-2023) (2023).
• Life Member, Indian Society for Probability and Statistics (ISPS).

References

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