title: The Impact of Financial Literacy Training for Migrants

authors: Gibson, John

subjects: finance

abstract: Remittances are a major source of external financing for many developing countries, but the cost of sending them remains high in many migration corridors. Despite efforts to lower these costs by offering new products and developing cost-comparison information sources, many new and promising inexpensive remittance methods have relatively low adoption rates. The lack of financial literacy among migrants has been identified as one potentially important barrier to competition and new product adoption. This paper presents the results of a randomized experiment designed to measure the impact of providing financial literacy training to migrants. Training appears to increase financial knowledge and information-seeking behavior and reduces the risk of switching to costlier remittance products, but it does not result in significant changes in the frequency of remitting or in the remitted amount.

text: The Impact of Financial Literacy Training for Migrants Remittances are a major source of external financing for many developing countries, but the cost of sending them remains high in many migration corridors. Despite efforts to lower these costs by offering new products and developing cost-comparison information sources, many new and promising inexpensive remittance methods have relatively low adoption rates. The lack of financial literacy among migrants has been identified as one potentially important barrier to competition and new product adoption. This paper presents the results of a randomized experiment designed to measure the impact of providing financial literacy training to migrants. Training appears to increase financial knowledge and information-seeking behavior and reduces the risk of switching to costlier remittance products, but it does not result in significant changes in the frequency of remitting or in the remitted amount.

year: 2012

title: The structure and average discrepancies of lattice rules for numerical integration

authors: Reddy, Muni Vasudewan

abstract: Lattice rules are equal-weight quadrature rules which are used in the approximation of multidimensional integrands over the s-dimensional unit cube [0,1]ˢ.  One of the problems encountered in the study of such rules is the unavailability of a unique representation. It is known that any lattice rule may be expressed in a canonical D - Z form in which D is a diagonal matrix whose diagonal entries are known as the invariants and Z is an integer matrix. Although D is unique in this canonical form, Z may be chosen in many different ways. Except for the case of so-called projection-regular and prime-power rules, no such unique Z is available. In the latter case of prime-power rules, the unique D - Z form developed is known as an ultratriangular form. Associated with each ultratriangular form is a set of column indices. Any lattice rule may be decomposed into prime-power components. In this thesis, a unique D - Z form is defined for a special class of lattice rules for which the component prime-power rules have a consistent set of column indices. This new unique form includes the known unique forms for projection-regular and prime-power rules as special cases. We also use the ultratriangular form for prime-power lattice rules to derive a formula to calculate the number of prime-power rules having a given set of invariants and column indices. 

The existing theory of lattice rules that is based on the generator matrix of the dual lattice has made the assumption that its representation in the so-called Hermite normal form is upper triangular. However, since projection-regular rules have a unique Z-matrix which is unit upper triangular, the corresponding generator matrix for the dual lattice is lower triangular. This suggests that a lower triangular Hermite normal form might be appropriate for study. We consider this situation and give the conditions on the lower triangular Hermite normal form which allow a projection-regular rule to be easily recognized. 

Number-theoretic rules are a class of lattice rules which are known to be particularly suitable for the approximation of multidimensional integrals in which the integrands are periodic. In the case of non-periodic integrands there is numerical evidence that the average L₂ discrepancy for these rules is smaller than the expected value for Monte-Carlo rules when the dimension s is less than 18. For non-periodic integrands, a vertex-modified version of the number-theoretic rule has been previously proposed. In s-dimensions these vertex-modified rules contain 2ˢ weights which may be chosen optimally so that the discrepancy is minimized. We shall compare the average discrepancy for these optimal vertex-modified number-theoretic rules with that for normal number-theoretic and Monte-Carlo rules. A similar comparison is also carried out between the averages for number-theoretic rules and for 2ˢ copy rules with approximately the same number of points. 

In the case of periodic integrands it has been shown that the average of Pα and the values of R for 2ˢ copy rules are smaller than those for number-theoretic rules. For this periodic case, we use an analogue of the L₂ discrepancy to carry out a similar comparison.

text: The structure and average discrepancies of lattice rules for numerical integration Lattice rules are equal-weight quadrature rules which are used in the approximation of multidimensional integrands over the s-dimensional unit cube [0,1]ˢ.  One of the problems encountered in the study of such rules is the unavailability of a unique representation. It is known that any lattice rule may be expressed in a canonical D - Z form in which D is a diagonal matrix whose diagonal entries are known as the invariants and Z is an integer matrix. Although D is unique in this canonical form, Z may be chosen in many different ways. Except for the case of so-called projection-regular and prime-power rules, no such unique Z is available. In the latter case of prime-power rules, the unique D - Z form developed is known as an ultratriangular form. Associated with each ultratriangular form is a set of column indices. Any lattice rule may be decomposed into prime-power components. In this thesis, a unique D - Z form is defined for a special class of lattice rules for which the component prime-power rules have a consistent set of column indices. This new unique form includes the known unique forms for projection-regular and prime-power rules as special cases. We also use the ultratriangular form for prime-power lattice rules to derive a formula to calculate the number of prime-power rules having a given set of invariants and column indices. 

The existing theory of lattice rules that is based on the generator matrix of the dual lattice has made the assumption that its representation in the so-called Hermite normal form is upper triangular. However, since projection-regular rules have a unique Z-matrix which is unit upper triangular, the corresponding generator matrix for the dual lattice is lower triangular. This suggests that a lower triangular Hermite normal form might be appropriate for study. We consider this situation and give the conditions on the lower triangular Hermite normal form which allow a projection-regular rule to be easily recognized. 

Number-theoretic rules are a class of lattice rules which are known to be particularly suitable for the approximation of multidimensional integrals in which the integrands are periodic. In the case of non-periodic integrands there is numerical evidence that the average L₂ discrepancy for these rules is smaller than the expected value for Monte-Carlo rules when the dimension s is less than 18. For non-periodic integrands, a vertex-modified version of the number-theoretic rule has been previously proposed. In s-dimensions these vertex-modified rules contain 2ˢ weights which may be chosen optimally so that the discrepancy is minimized. We shall compare the average discrepancy for these optimal vertex-modified number-theoretic rules with that for normal number-theoretic and Monte-Carlo rules. A similar comparison is also carried out between the averages for number-theoretic rules and for 2ˢ copy rules with approximately the same number of points. 

In the case of periodic integrands it has been shown that the average of Pα and the values of R for 2ˢ copy rules are smaller than those for number-theoretic rules. For this periodic case, we use an analogue of the L₂ discrepancy to carry out a similar comparison.

year: 2000

title: Indigenous Peoples and the Protection of Their Secret Knowledge: A Promising Pathway Ahead

authors: Masoni, Claudia

abstract: This work focuses on the intangible, secret aspects of indigenous peoples’ cultures and how such secret information is protected by indigenous guardians or holders. This is because much of indigenous culture is imbued with spiritual significance for indigenous peoples and, consequently, it is not made available to the rest of the community and the world at large.
This thesis examines the reasons why it is important to preserve indigenous cultures and secret practices that today survive in indigenous communities. The thesis demonstrates that secrecy is seen as essential to the preservation of indigenous secret knowledge. Indigenous guardians are responsible for the preservation of the information, and they commonly use secrecy to preserve the knowledge and, when they share it, they choose limited, confidential circumstances to do so. This work argues that it is important to make reasonable space in the existing body of laws which have so far failed to effectively protect indigenous secret practices and information. The case study described in this thesis helps understand how states are currently trying to listen, understand and accommodate indigenous claims brought forward at the national and international fora. The thesis reviews the legal protection currently available to indigenous secret knowledge in national and international law. The first 6 chapters introduce indigenous cultures, holism and indigenous peoples and international law, and chapter 7 describes the New Zealand case Wai 262 and the recommendations given by the Waitangi Tribunal. The remaining chapters analyse indigenous cultures and intellectual property laws, identifying gaps in the existing mechanisms for protection and underlining why, as of today, intellectual property law does not guarantee adequate protection to indigenous secret knowledge. The last chapter analyses the law of breach of confidence as a possible instrument to safeguard indigenous secret information and the duty of care performed by indigenous guardians in preserving such knowledge. It argues that the existing law of confidentiality can usefully evolve to protect cultural secret information as a growing category in its own right and that indigenous secret information can find protection as confidential information.

text: Indigenous Peoples and the Protection of Their Secret Knowledge: A Promising Pathway Ahead This work focuses on the intangible, secret aspects of indigenous peoples’ cultures and how such secret information is protected by indigenous guardians or holders. This is because much of indigenous culture is imbued with spiritual significance for indigenous peoples and, consequently, it is not made available to the rest of the community and the world at large.
This thesis examines the reasons why it is important to preserve indigenous cultures and secret practices that today survive in indigenous communities. The thesis demonstrates that secrecy is seen as essential to the preservation of indigenous secret knowledge. Indigenous guardians are responsible for the preservation of the information, and they commonly use secrecy to preserve the knowledge and, when they share it, they choose limited, confidential circumstances to do so. This work argues that it is important to make reasonable space in the existing body of laws which have so far failed to effectively protect indigenous secret practices and information. The case study described in this thesis helps understand how states are currently trying to listen, understand and accommodate indigenous claims brought forward at the national and international fora. The thesis reviews the legal protection currently available to indigenous secret knowledge in national and international law. The first 6 chapters introduce indigenous cultures, holism and indigenous peoples and international law, and chapter 7 describes the New Zealand case Wai 262 and the recommendations given by the Waitangi Tribunal. The remaining chapters analyse indigenous cultures and intellectual property laws, identifying gaps in the existing mechanisms for protection and underlining why, as of today, intellectual property law does not guarantee adequate protection to indigenous secret knowledge. The last chapter analyses the law of breach of confidence as a possible instrument to safeguard indigenous secret information and the duty of care performed by indigenous guardians in preserving such knowledge. It argues that the existing law of confidentiality can usefully evolve to protect cultural secret information as a growing category in its own right and that indigenous secret information can find protection as confidential information.

year: 2017