AlphaPowerHazard: Alpha-Power Hazard Regression Models for Survival Data
Implements the alpha-power hazard model and regression
frameworks for survival data based on the flexible hazard rate function
h(x; alpha, beta) = alpha^x + x^(beta-1) (Pal et al., 2026
<doi:10.1007/s41096-026-00297-5>). Provides standard distribution
functions (d, p, q, r, h, H, s) and distributional properties including
raw/central moments, variance, skewness, kurtosis, quantile statistics
(Bowley's skewness, Moors's kurtosis), Lambert W hazard rate function
minimum (Corless et al., 1996), order statistics, and stochastic ordering
(Shaked & Shanthikumar, 1994). Computes five classical estimation
methods for baseline parameters: Maximum Likelihood Estimation (Casella &
Berger, 2002), Least Squares Estimation (Swain et al., 1988), Weighted
Least Squares Estimation (Styan, 1973), Maximum Product of Spacings
Estimation (Cheng & Amin, 1983 <doi:10.1111/j.2517-6161.1983.tb01241.x>),
and Cramer-von Mises Estimation (Macdonald, 1971). Supports four
hazard regression models (M1-M4) within proportional hazards and
parametric frameworks across uncensored data, right censoring, left
censoring, interval censoring, and progressive Type-I and Type-II
censoring schemes (Lee & Wang, 2003; Lawless, 2011; Balakrishnan &
Aggarwala, 2000). Includes comprehensive model diagnostics, Cox-Snell,
martingale, deviance, standardized, and studentized residuals, leverage,
Cook's distance, DFFITS, DFBETAS, model comparisons (AIC, BIC, WAIC),
k-fold cross-validation, prediction suites, random data generators, and
an eight-panel diagnostic visualization suite.
| Version: |
0.1.0 |
| Depends: |
R (≥ 4.0.0) |
| Imports: |
survival, maxLik, numDeriv, MASS, stats, graphics, grDevices, utils |
| Suggests: |
testthat (≥ 3.0.0), knitr, rmarkdown |
| Published: |
2026-07-29 |
| DOI: |
10.32614/CRAN.package.AlphaPowerHazard (may not be active yet) |
| Author: |
Shikhar Tyagi 
[aut, cre],
Arvind Pandey [aut],
Bhupendra Singh [aut],
Vrijesh Tripathi [aut] |
| Maintainer: |
Shikhar Tyagi <shikhar1093tyagi at gmail.com> |
| License: |
GPL-3 |
| NeedsCompilation: |
no |
| Language: |
en-US |
| CRAN checks: |
AlphaPowerHazard results |
Documentation:
Downloads:
Linking:
Please use the canonical form
https://CRAN.R-project.org/package=AlphaPowerHazard
to link to this page.