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• The models are applicable to various engineer fields. • The relationships between the UCS and other mechanical indices. • Generalized function for capturing the effect of curing time. Given the wide application of lime stabilized loess in road base and subbase, subgrade, building foundations and slopes, a set of generalized and accurate mechanical estimation models of lime stabilized loess is essential for quality control. In this research, three modified models were proposed to capture the effects of lime content and compactness on the unconfined compressive strength (UCS), California bearing ratio (CBR), resilience modulus (M R), internal friction angle (φ), cohesion (c) and compression coefficient (a 1-2) of lime stabilized loess at both 7-day and 28-day curing periods. Compared with the logarithmic model, the hyperbolic model can more reasonably characterize the effect of the curing period on these mechanical indices. Taking those factors together, a set of three-factor estimation models based on both 7-day and 28-day references were developed and show high reliability. Moreover, the establishment of relationships between UCS and CBR , M R , φ and c provides a shortcut for the mechanical property estimation of lime stabilized loess. Finally, based on multiple sets of UCS data sourced from numerous papers, a hyperbolic model with a wider application range was established to link normalized UCS to curing time. The proposed estimation models can be adopted for design checking and quality evaluation of lime stabilized loess applied in various engineering fields. [ABSTRACT FROM AUTHOR]