The systems and methods described herein enable reliable estimation of cardiovascular indices on real-time, non-invasive or minimally-invasive, and beat-to-beat basis. Cardiovascular indices which can be estimated include: stroke volume (SV), which being limited to, cardiac output (CO) and total peripheral resistance (TPR). In various embodiments, one or more of these indices are estimated continuously, on a beat-to-beat basis, using peripheral arterial blood pressure (ABP) waveforms and certain parameters derived from the peripheral ABP waveforms. The derived parameters are substantially insensitive to distortions of the ABP waveform arising from tapered arterial branches throughout the arterial tree. The methods describe herein can provide a more accurate and reliable estimate of hemodynamic parameters than existing techniques.