TY - JOUR

T1 - A new mobility index for transition matrices

AU - Ferretti, Camilla

AU - Ganugi, Piero

AU - Ganugi, P.

PY - 2013

Y1 - 2013

N2 - In this work we construct a mobility index able to grasp the prevailing
direction in the evolution of a given set of statistical units. We consider the case of
dynamics ruled by a transition matrix, whose states are based on an ordered economic
variable (firm size or income, among others) such that the future position of an
individual can be better or worse than the current one. The existing indices measure
only the absolute value of mobility, without providing information about the main
direction in the dynamics. We propose here a whole family of directional indices
defined as functions of the transition matrix, so that their absolute value measures the
intensity of mobility, and their sign (+/−) represents the prevailing direction towards
improvement/worsening in the dynamics under study.

AB - In this work we construct a mobility index able to grasp the prevailing
direction in the evolution of a given set of statistical units. We consider the case of
dynamics ruled by a transition matrix, whose states are based on an ordered economic
variable (firm size or income, among others) such that the future position of an
individual can be better or worse than the current one. The existing indices measure
only the absolute value of mobility, without providing information about the main
direction in the dynamics. We propose here a whole family of directional indices
defined as functions of the transition matrix, so that their absolute value measures the
intensity of mobility, and their sign (+/−) represents the prevailing direction towards
improvement/worsening in the dynamics under study.

KW - Mobility index, Prevailing direction, Transition matrix,

KW - Mobility index, Prevailing direction, Transition matrix,

UR - http://hdl.handle.net/10807/45369

UR - http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s10260-013-0232-9

U2 - DOI 10.1007/s10260-013-0232-9

DO - DOI 10.1007/s10260-013-0232-9

M3 - Article

VL - 22

SP - 403

EP - 425

JO - Journal of the Italian Statistical Society

JF - Journal of the Italian Statistical Society

SN - 1121-9130

ER -