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Zbl 0654.62093
Small, Kenneth A.
A discrete choice model for ordered alternatives. (English)
[J] Econometrica 55, 409-424 (1987). ISSN 0012-9682; ISSN 1468-0262/e

A generalization of the multinomial logit (MNL) model is developed in which discrete alternatives are ordered so as to induce stochastic correlation among alternatives in close proximity. It is designed for situations where the alternatives are ordered, but is more flexible than previous ordered models. The model belongs to the generalized extreme value class introduced by {\it D. McFadden} [Modelling the choice of residential location. A. Karlqvist (ed.), Spatial interaction theory and planning models, 75-96 (1978)] and is therefore consistent with random utility maximization. \par A straightforward extension can handle cases where observations have been selected on the basis of a truncated choice set. A two-stage procedure using MNL computer software provides a specification test for MNL against either of these alternative models. The models' pontinuities (pp. 627- 634). {\it M. V. Dharaneepathy} and {\it S. Gomathinayagam}; Finite element modelling of semi-submersibles (pp. 635-644). {\it S. K. Sane}, {\it C. S. Gurujee}, {\it A. R. Malpani} and {\it C. M. P. Fernandes}; Natural frequency analysis of compressor rotor blades (pp. 645-654). {\it S. K. Sane}, {\it C. S. Gurujee}, {\it A. R. Malpani}, {\it V. N. Sharma} and {\it C. M. P. Fernandes}; Natural frequency analysis of pretwisted plates (pp. 655-664). {\it S. C. Chakrabarti}, {\it G. C. Nayak} and {\it D. K. Paul}; Free vibration characteristics of prefabricated shear wall including foundation interaction (pp. 665-676). {\it P. S. Nair}, {\it M. Sambasiva Rao} and {\it S. Durvasula}; Vibration data reduction for design, analysis and testing of spacecraft (pp. 677-688). {\it C. V. Ramakrishnan} and {\it P. J. Sunder}; Comparison of block-stodala and static condensation algorithms for the linear flutter of axisymmetric shells (pp. 689-700). {\it B. G. Prakash} and {\it M. S. S. Prabhu}; Experience in the use of component mode synthesis in a project environment (pp. 701-710). {\it N. Ganesan} and {\it M. S. Dhotarad}; Vibration of thermally stressed skewed plates (pp. 711-720). {\it N. Ganesan} and {\it M. S. Dhotarad}; Nonlinear vibrations of thermally stressed plates by finite element method (pp. 721-732). \par DYNAMICS: {\it A. H. Shah}, {\it K. C. Wong} and {\it S. K. Datta}; Dynamic amplification of displacements and stresses in a buried tunnel (pp. 733-742). {\it P. Chellapandi}; Treatment of fluid structure interaction with FUSTIN code (pp. 743-752). {\it A. Das Gupta}; A dynamic material model from shock compression of geological materials for the ADINA code (pp. 753-760). {\it G. V. Surya Kumar} and {\it N. V. Raman}; Nonlinear dynamic analysis of guyed towers (pp. 761-770). {\it S. Haranath}, {\it N. Ganesan} and {\it B. V. A. Rao}; Dynamic behaviour of saw blade with applied damping treatment (pp. 771-780). {\it A. R. Chandrasekaran}, {\it S. K. Thakkar}, {\it D. K. Paul}, {\it N. C. Singhal}, {\it M. M. Tilak} and {\it U. S. P. Verma}; Seismic analysis of reactor building on a rocky site (pp. 781-792). {\it R. Patnaik}, {\it S. Prakash}, {\it H. S. Kushwaha} and {\it V. S. Gowaikar}; Seismic analysis of ventilation stack (pp. 793-798). {\it R. Singh}, {\it H. S. Kushwaha} and {\it B. K. Dutta}, Seismic response of cooling tower (pp. 799-806). {\it M. N. G. Elayathu} and {\it E. M. Abdul Salam}; Elastic response of a launch vehicle-payload-fairing to separation shock (pp. 807-814). {\it S. Vasudeva Rao} and {\it S. Rahamatulla}; Thermal stress analysis of turbine rotor under transients (pp. 815-826). {\it B. K. Raghu Prasad} and {\it A. R. Gopalakrishnan}; Finite element inelastic analysis of nuclear power plants subjected to dynamic loads (pp. 827-836). \par FIELD PROBLEMS: {\it S. K. Saxena} and {\it M. Geraminegad}; Coupled heat-moisture flow in saturated/unsaturated porous media (pp. 837-852). {\it B. S. Babur} and {\it E. Jones}; Finite element modelling for nonlinear diffusion equation (pp. 853-860). {\it S. G. Ravikumaur}, {\it K. N. Seetharamu} and {\it P. A. Aswathanarayana}; Analysis of network of heat exchangers using finite elements (pp. 861-870). {\it C. J. G. Chandra}, {\it K. N. Seetharamu} and {\it M. A. Parameswaran}; Finite element methods for investigation of air film in conveyor applications (pp. 871-880). {\it K. N. Shukla} and {\it M. J. Chacko}; Exact finite elements for parabolic boundary value problems (pp. 881-890). \par STRESS CONCENTRATION: {\it T. Krishnamurthy}, {\it T. S. Ramamurthy}, {\it K. Vijayakumar} and {\it B. Dattaguru}; Modified crack closure integral method for higher order finite elements (pp. 891-900). {\it K. P. Rao}, {\it R. K. Gupta}, {\it S. K. Radhamohan} and {\it S. Murugesan}; Finite element analysis of segment joints in long motor cases (pp. 901-908). {\it R. H. Dodds}, {\it S. T. Rolfe} and {\it G. Wellman}; Finite element predictions of J and CTOD for nonlinear fracture mechanics (pp. 909-922). {\it A. R. Kukreti}, {\it A. S. Khan} and {\it A. Kumar}; A three-dimensional finite element program for crack initiation and propagation in solids (pp. 923-932). {\it A. C. B. Naidu}, {\it T. Krishnamurthy}, {\it B. Dattaguru}, {\it T. S. Ramamurthy} and {\it A. K. Rao}; Special elements for analysis of fasteners in composite plates (pp. 933-942). {\it A. A. Mufti}, {\it N. G. Zamani}, {\it J. F. Porter}, {\it F. Taheri} and {\it L. T. Russell}; Prediction of fatigue crack propagation based on finite element fracture analysis (pp. 943-954). {\it R. Ramesh Kumar}, {\it K. Rajaiah}, {\it R. M. Belkune} and {\it Tarun Kant}; A finite element method for evaluating stresses around cutouts in shells (pp. 955-966). \par GRAPHICS: {\it M. Soerensen} and {\it G. Boehmler}; The missing link between CAD and FEM - does it exist ? (pp. 967-984). {\it N. Raghavan}, {\it S. G. Joglekar} and {\it M. C. Tandon}; Interactive graphics on a microcomputer for a design office (pp. 985-992). {\it B. S. Babu} and {\it G. R. Shevare}; Contour plotting using parametric bilinear patches (pp. 993-1000).

MSC 2000:: *62P20 Appl. of statistics to economics

Keywords: discrete choice; ordered alternatives; generalization of the multinomial logit (MNL) model; stochastic correlation; ordered models; generalized extreme value class; random utility maximization; truncated choice set; two-stage procedure; specification test; DYNAMICS; FIELD PROBLEMS; STRESS CONCENTRATION; GRAPHICS

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