Convergence theory for fuzzy c-means: counterexamples and repairs
JC Bezdek, RJ Hathaway, MJ Sabin… - IEEE Transactions on …, 1987 - ieeexplore.ieee.org
A counterexample to the original incorrect convergence theorem for the fuzzy c -means (FCM)
clustering algorithms (see JC Bezdak, IEEE Trans. Pattern Anal. and Math. Intell., vol.PAMI…
clustering algorithms (see JC Bezdak, IEEE Trans. Pattern Anal. and Math. Intell., vol.PAMI…
Fair tontine annuity
MJ Sabin - Available at SSRN 1579932, 2010 - papers.ssrn.com
An annuity is an arrangement in which an individual makes a one-time payment (the premium)
to an insurer in exchange for a lifetime payment stream. Ideally, the expected present …
to an insurer in exchange for a lifetime payment stream. Ideally, the expected present …
Tontine pensions
JB Forman, MJ Sabin - U. Pa. L. Rev., 2014 - HeinOnline
Tontines are investment vehicles that can be used to provide retirement income. A tontine is
a financial product that combines the features of an annuity and a lottery. 1 In a simple …
a financial product that combines the features of an annuity and a lottery. 1 In a simple …
Convergence and consistency of fuzzy c-means/ISODATA algorithms
MJ Sabin - IEEE Transactions on Pattern Analysis and Machine …, 1987 - ieeexplore.ieee.org
The fuzzy c-means/ISODATA algorithm is usually described in terms of clustering a finite
data set. An equivalent point of view is that the algorithm clusters the support points of a finite-…
data set. An equivalent point of view is that the algorithm clusters the support points of a finite-…
Individual tontine accounts
RK Fullmer, MJ Sabin - Fullmer, RK, & Sabin, MJ (2019). Individual …, 2018 - papers.ssrn.com
An individual tontine account (ITA) is an investment product similar to a conventional brokerage
account, but with the added feature of mortality pooling through participation in an open-…
account, but with the added feature of mortality pooling through participation in an open-…
Survivor funds
JB Forman, MJ Sabin - Pace L. Rev., 2016 - HeinOnline
This Article explains how to create" survivor funds"-shortterm investment funds that would
pay more to those investors who live until the end of the fund's term than to those who die …
pay more to those investors who live until the end of the fund's term than to those who die …
The analytics of a single-period tontine
MJ Sabin, JB Forman - Available at SSRN 2874160, 2016 - papers.ssrn.com
A single-period tontine is an arrangement in which a group of members contribute to an
investment pool, and after a fixed period of time, the pool is distributed to those members who …
investment pool, and after a fixed period of time, the pool is distributed to those members who …
A fast bipartite algorithm for fair tontines
MJ Sabin - Available at SSRN 1848737, 2011 - papers.ssrn.com
In a fair tontine, members of a group contribute to a pool, and each time a member dies, his
or her contribution is divided among surviving members in unequal portions according to a …
or her contribution is divided among surviving members in unequal portions according to a …
[PDF][PDF] Tontine pensions: A solution to the state and local pension underfunding crisis
JB Forman, MJ Sabin - University of Pennsylvania Law Review, 2014 - academia.edu
Basically, a tontine is a financial product that combines features of an annuity and a lottery.
In a simple tontine, a group of investors pool their money together to buy a portfolio of …
In a simple tontine, a group of investors pool their money together to buy a portfolio of …
Backtested Pension Math: An Empirical Look at the Causes of CalPERS Underfunding
MJ Sabin - The Journal of Retirement, 2015 - search.proquest.com
This article takes an empirical look backward to identify causes of the current underfunding
of public-sector pension plans administered by the California Public Employees Retirement …
of public-sector pension plans administered by the California Public Employees Retirement …